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Atlas › Integer Profiles › Node 62,080,396

62,080,396

22 × 7 × 17 × 41 × 3181
Abundant Even Composite

62,080,396 factors as 2^2 × 7 × 17 × 41 × 3181. Its 48 positive divisors give a proper-divisor sum of 72,632,756, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 41 × 3181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 134,713,152
Proper Divisor Sum 72,632,756
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #62080313 ← → #62080397

Radix Representation

Decimal 62080396
Binary 11101100110100010110001100 (26 bits)
Octal 0o354642614
Hexadecimal 0x3B3458C

Divisor Catalog (48)

1 2 4 7 14 17 28 34 41 68 82 119 164 238 287 476 574 697 1,148 1,394 2,788 3,181 4,879 6,362 9,758 12,724 19,516 22,267 44,534 54,077 89,068 108,154 130,421 216,308 260,842 378,539 521,684 757,078 912,947 1,514,156 1,825,894 2,217,157 3,651,788 4,434,314 8,868,628 15,520,099 31,040,198 62,080,396

Collatz Trajectory (220 steps to reach 1)

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

62,080,396 31,040,198 15,520,099 46,560,298 23,280,149 69,840,448 34,920,224 17,460,112 8,730,056 4,365,028 2,182,514 1,091,257 3,273,772 1,636,886 818,443 2,455,330 1,227,665 3,682,996 1,841,498 920,749 2,762,248 1,381,124 690,562 345,281 1,035,844 517,922 258,961 776,884 388,442 194,221 582,664 291,332 145,666 72,833 218,500 109,250 54,625 163,876 81,938 40,969 122,908 61,454 30,727 92,182 46,091 138,274 69,137 207,412 103,706 51,853 155,560 77,780 38,890 19,445 58,336 29,168 14,584 7,292 3,646 1,823

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