λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,208,024

45,208,024

23 × 73 × 199 × 389
Deficient Even Composite

45,208,024 factors as 2^3 × 73 × 199 × 389. Its 32 positive divisors give a proper-divisor sum of 41,371,976, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 73 × 199 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 86,580,000
Proper Divisor Sum 41,371,976
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #45208019 ← → #45208027

Radix Representation

Decimal 45208024
Binary 10101100011101000111011000 (26 bits)
Octal 0o254350730
Hexadecimal 0x2B1D1D8

Divisor Catalog (32)

1 2 4 8 73 146 199 292 389 398 584 778 796 1,556 1,592 3,112 14,527 28,397 29,054 56,794 58,108 77,411 113,588 116,216 154,822 227,176 309,644 619,288 5,651,003 11,302,006 22,604,012 45,208,024

Collatz Trajectory (160 steps to reach 1)

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

45,208,024 22,604,012 11,302,006 5,651,003 16,953,010 8,476,505 25,429,516 12,714,758 6,357,379 19,072,138 9,536,069 28,608,208 14,304,104 7,152,052 3,576,026 1,788,013 5,364,040 2,682,020 1,341,010 670,505 2,011,516 1,005,758 502,879 1,508,638 754,319 2,262,958 1,131,479 3,394,438 1,697,219 5,091,658 2,545,829 7,637,488 3,818,744 1,909,372 954,686 477,343 1,432,030 716,015 2,148,046 1,074,023 3,222,070 1,611,035 4,833,106 2,416,553 7,249,660 3,624,830 1,812,415 5,437,246 2,718,623 8,155,870 4,077,935 12,233,806 6,116,903 18,350,710 9,175,355 27,526,066 13,763,033 41,289,100 20,644,550 10,322,275

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #45,208,023 Browse Full Index Next Integer #45,208,025 →