13,870,920

2³ × 3 × 5 × 7³ × 337

13,870,920 factors as 2^3 × 3 × 5 × 7^3 × 337. Its 128 positive divisors give a proper-divisor sum of 34,801,080, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7^3 × 337

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 48,672,000

Proper Divisor Sum 34,801,080

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #13870891 ← → #13870921

Radix Representation

Decimal	13870920
Binary	110100111010011101001000 (24 bits)
Octal	0o64723510
Hexadecimal	0xD3A748

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 337 343 392 420 490 588 674 686 735 840 980 1,011 1,029 1,176 1,348 1,372 1,470 1,685 1,715 1,960 2,022 2,058 2,359 2,696

Collatz Trajectory (99 steps to reach 1)

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

13,870,920 6,935,460 3,467,730 1,733,865 5,201,596 2,600,798 1,300,399 3,901,198 1,950,599 5,851,798 2,925,899 8,777,698 4,388,849 13,166,548 6,583,274 3,291,637 9,874,912 4,937,456 2,468,728 1,234,364 617,182 308,591 925,774 462,887 1,388,662 694,331 2,082,994 1,041,497 3,124,492 1,562,246 781,123 2,343,370 1,171,685 3,515,056 1,757,528 878,764 439,382 219,691 659,074 329,537 988,612 494,306 247,153 741,460 370,730 185,365 556,096 278,048 139,024 69,512 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444

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