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Atlas › Integer Profiles › Node 59,244,130

59,244,130

2 × 5 × 11 × 317 × 1699
Deficient Even Composite

59,244,130 factors as 2 × 5 × 11 × 317 × 1699. Its 32 positive divisors give a proper-divisor sum of 57,525,470, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 317 × 1699
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 116,769,600
Proper Divisor Sum 57,525,470
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #59244077 ← → #59244173

Radix Representation

Decimal 59244130
Binary 11100001111111111001100010 (26 bits)
Octal 0o341777142
Hexadecimal 0x387FE62

Divisor Catalog (32)

1 2 5 10 11 22 55 110 317 634 1,585 1,699 3,170 3,398 3,487 6,974 8,495 16,990 17,435 18,689 34,870 37,378 93,445 186,890 538,583 1,077,166 2,692,915 5,385,830 5,924,413 11,848,826 29,622,065 59,244,130

Collatz Trajectory (88 steps to reach 1)

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

59,244,130 29,622,065 88,866,196 44,433,098 22,216,549 66,649,648 33,324,824 16,662,412 8,331,206 4,165,603 12,496,810 6,248,405 18,745,216 9,372,608 4,686,304 2,343,152 1,171,576 585,788 292,894 146,447 439,342 219,671 659,014 329,507 988,522 494,261 1,482,784 741,392 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741

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