λ
Ratio Atlas
Atlas › Integer Profiles › Node 77,251,400

77,251,400

23 × 52 × 17 × 22721
Abundant Even Composite

77,251,400 factors as 2^3 × 5^2 × 17 × 22721. Its 48 positive divisors give a proper-divisor sum of 112,931,740, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 17 × 22721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 190,183,140
Proper Divisor Sum 112,931,740
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #77251387 ← → #77251403

Radix Representation

Decimal 77251400
Binary 100100110101100001101001000 (27 bits)
Octal 0o446541510
Hexadecimal 0x49AC348

Divisor Catalog (48)

1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1,700 3,400 22,721 45,442 90,884 113,605 181,768 227,210 386,257 454,420 568,025 772,514 908,840 1,136,050 1,545,028 1,931,285 2,272,100 3,090,056 3,862,570 4,544,200 7,725,140 9,656,425 15,450,280 19,312,850 38,625,700 77,251,400

Collatz Trajectory (122 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

77,251,400 38,625,700 19,312,850 9,656,425 28,969,276 14,484,638 7,242,319 21,726,958 10,863,479 32,590,438 16,295,219 48,885,658 24,442,829 73,328,488 36,664,244 18,332,122 9,166,061 27,498,184 13,749,092 6,874,546 3,437,273 10,311,820 5,155,910 2,577,955 7,733,866 3,866,933 11,600,800 5,800,400 2,900,200 1,450,100 725,050 362,525 1,087,576 543,788 271,894 135,947 407,842 203,921 611,764 305,882 152,941 458,824 229,412 114,706 57,353 172,060 86,030 43,015 129,046 64,523 193,570 96,785 290,356 145,178 72,589 217,768 108,884 54,442 27,221 81,664

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #77,251,399 Browse Full Index Next Integer #77,251,401 →