760,039

7² × 15511

760,039 factors as 7^2 × 15511. Its 6 positive divisors give a proper-divisor sum of 124,145, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 7^2 × 15511

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 884,184

Proper Divisor Sum 124,145

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #760007 ← → #760043

Radix Representation

Decimal	760039
Binary	10111001100011100111 (20 bits)
Octal	0o2714347
Hexadecimal	0xB98E7

Divisor Catalog (6)

1 7 49 15,511 108,577 760,039

Collatz Trajectory (216 steps to reach 1)

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

760,039 2,280,118 1,140,059 3,420,178 1,710,089 5,130,268 2,565,134 1,282,567 3,847,702 1,923,851 5,771,554 2,885,777 8,657,332 4,328,666 2,164,333 6,493,000 3,246,500 1,623,250 811,625 2,434,876 1,217,438 608,719 1,826,158 913,079 2,739,238 1,369,619 4,108,858 2,054,429 6,163,288 3,081,644 1,540,822 770,411 2,311,234 1,155,617 3,466,852 1,733,426 866,713 2,600,140 1,300,070 650,035 1,950,106 975,053 2,925,160 1,462,580 731,290 365,645 1,096,936 548,468 274,234 137,117 411,352 205,676 102,838 51,419 154,258 77,129 231,388 115,694 57,847 173,542

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