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Atlas › Integer Profiles › Node 14,101,520

14,101,520

24 × 5 × 359 × 491
Abundant Even Composite

14,101,520 factors as 2^4 × 5 × 359 × 491. Its 40 positive divisors give a proper-divisor sum of 18,842,800, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 359 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 32,944,320
Proper Divisor Sum 18,842,800
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #14101513 ← → #14101537

Radix Representation

Decimal 14101520
Binary 110101110010110000010000 (24 bits)
Octal 0o65626020
Hexadecimal 0xD72C10

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 80 359 491 718 982 1,436 1,795 1,964 2,455 2,872 3,590 3,928 4,910 5,744 7,180 7,856 9,820 14,360 19,640 28,720 39,280 176,269 352,538 705,076 881,345 1,410,152 1,762,690 2,820,304 3,525,380 7,050,760 14,101,520

Collatz Trajectory (68 steps to reach 1)

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

14,101,520 7,050,760 3,525,380 1,762,690 881,345 2,644,036 1,322,018 661,009 1,983,028 991,514 495,757 1,487,272 743,636 371,818 185,909 557,728 278,864 139,432 69,716 34,858 17,429 52,288 26,144 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

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