157,626

2 × 3⁴ × 7 × 139

157,626 is even and not a perfect square. Its factorization is 2 × 3^4 × 7 × 139 and its 40 divisors sum to 406,560.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 406,560

Proper Divisor Sum 248,934

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #157579 ← → #157627

Radix Representation

Decimal	157626
Binary	100110011110111010 (18 bits)
Octal	0o463672
Hexadecimal	0x267BA

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 139 162 189 278 378 417 567 834 973 1,134 1,251 1,946 2,502 2,919 3,753 5,838 7,506 8,757 11,259 17,514 22,518 26,271 52,542 78,813 157,626

Collatz Trajectory (77 steps to reach 1)

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

157,626 78,813 236,440 118,220 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29

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