13,920,136

2³ × 929 × 1873

13,920,136 factors as 2^3 × 929 × 1873. Its 16 positive divisors give a proper-divisor sum of 12,222,164, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^3 × 929 × 1873

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 26,142,300

Proper Divisor Sum 12,222,164

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #13920133 ← → #13920143

Radix Representation

Decimal	13920136
Binary	110101000110011110001000 (24 bits)
Octal	0o65063610
Hexadecimal	0xD46788

Divisor Catalog (16)

1 2 4 8 929 1,858 1,873 3,716 3,746 7,432 7,492 14,984 1,740,017 3,480,034 6,960,068 13,920,136

Collatz Trajectory (148 steps to reach 1)

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

13,920,136 6,960,068 3,480,034 1,740,017 5,220,052 2,610,026 1,305,013 3,915,040 1,957,520 978,760 489,380 244,690 122,345 367,036 183,518 91,759 275,278 137,639 412,918 206,459 619,378 309,689 929,068 464,534 232,267 696,802 348,401 1,045,204 522,602 261,301 783,904 391,952 195,976 97,988 48,994 24,497 73,492 36,746 18,373 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412

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