7,123,137

3 × 7 × 431 × 787

7,123,137 is odd and not a perfect square. Its factorization is 3 × 7 × 431 × 787 and its 16 divisors sum to 10,893,312.

Prime Factor Structure

Factorization String 3 × 7 × 431 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,893,312

Proper Divisor Sum 3,770,175

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7123117 ← → #7123159

Radix Representation

Decimal	7123137
Binary	11011001011000011000001 (23 bits)
Octal	0o33130301
Hexadecimal	0x6CB0C1

Divisor Catalog (16)

1 3 7 21 431 787 1,293 2,361 3,017 5,509 9,051 16,527 339,197 1,017,591 2,374,379 7,123,137

Collatz Trajectory (173 steps to reach 1)

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

7,123,137 21,369,412 10,684,706 5,342,353 16,027,060 8,013,530 4,006,765 12,020,296 6,010,148 3,005,074 1,502,537 4,507,612 2,253,806 1,126,903 3,380,710 1,690,355 5,071,066 2,535,533 7,606,600 3,803,300 1,901,650 950,825 2,852,476 1,426,238 713,119 2,139,358 1,069,679 3,209,038 1,604,519 4,813,558 2,406,779 7,220,338 3,610,169 10,830,508 5,415,254 2,707,627 8,122,882 4,061,441 12,184,324 6,092,162 3,046,081 9,138,244 4,569,122 2,284,561 6,853,684 3,426,842 1,713,421 5,140,264 2,570,132 1,285,066 642,533 1,927,600 963,800 481,900 240,950 120,475 361,426 180,713 542,140 271,070

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