76,516,090

2 × 5 × 7 × 1093087

76,516,090 factors as 2 × 5 × 7 × 1093087. Its 16 positive divisors give a proper-divisor sum of 80,888,582, so this integer is abundant. The Collatz stopping time is 241 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 1093087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 157,404,672

Proper Divisor Sum 80,888,582

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #76516087 ← → #76516093

Radix Representation

Decimal	76516090
Binary	100100011111000101011111010 (27 bits)
Octal	0o443705372
Hexadecimal	0x48F8AFA

Divisor Catalog (16)

1 2 5 7 10 14 35 70 1,093,087 2,186,174 5,465,435 7,651,609 10,930,870 15,303,218 38,258,045 76,516,090

Collatz Trajectory (241 steps to reach 1)

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

76,516,090 38,258,045 114,774,136 57,387,068 28,693,534 14,346,767 43,040,302 21,520,151 64,560,454 32,280,227 96,840,682 48,420,341 145,261,024 72,630,512 36,315,256 18,157,628 9,078,814 4,539,407 13,618,222 6,809,111 20,427,334 10,213,667 30,641,002 15,320,501 45,961,504 22,980,752 11,490,376 5,745,188 2,872,594 1,436,297 4,308,892 2,154,446 1,077,223 3,231,670 1,615,835 4,847,506 2,423,753 7,271,260 3,635,630 1,817,815 5,453,446 2,726,723 8,180,170 4,090,085 12,270,256 6,135,128 3,067,564 1,533,782 766,891 2,300,674 1,150,337 3,451,012 1,725,506 862,753 2,588,260 1,294,130 647,065 1,941,196 970,598 485,299

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