757,140

2² × 3 × 5 × 12619

757,140 factors as 2^2 × 3 × 5 × 12619. Its 24 positive divisors give a proper-divisor sum of 1,363,020, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 12619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,120,160

Proper Divisor Sum 1,363,020

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #757111 ← → #757151

Radix Representation

Decimal	757140
Binary	10111000110110010100 (20 bits)
Octal	0o2706624
Hexadecimal	0xB8D94

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 12,619 25,238 37,857 50,476 63,095 75,714 126,190 151,428 189,285 252,380 378,570 757,140

Collatz Trajectory (87 steps to reach 1)

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

757,140 378,570 189,285 567,856 283,928 141,964 70,982 35,491 106,474 53,237 159,712 79,856 39,928 19,964 9,982 4,991 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134

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