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Atlas › Integer Profiles › Node 14,836,120

14,836,120

23 × 5 × 13 × 103 × 277
Abundant Even Composite

14,836,120 factors as 2^3 × 5 × 13 × 103 × 277. Its 64 positive divisors give a proper-divisor sum of 21,593,000, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 103 × 277
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 36,429,120
Proper Divisor Sum 21,593,000
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #14836117 ← → #14836147

Radix Representation

Decimal 14836120
Binary 111000100110000110011000 (24 bits)
Octal 0o70460630
Hexadecimal 0xE26198

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 52 65 103 104 130 206 260 277 412 515 520 554 824 1,030 1,108 1,339 1,385 2,060 2,216 2,678 2,770 3,601 4,120 5,356 5,540 6,695 7,202 10,712 11,080 13,390 14,404 18,005 26,780 28,531 28,808 36,010 53,560 57,062 72,020 114,124 142,655 144,040 228,248 285,310 370,903 570,620 741,806 1,141,240 1,483,612 1,854,515

Collatz Trajectory (117 steps to reach 1)

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

14,836,120 7,418,060 3,709,030 1,854,515 5,563,546 2,781,773 8,345,320 4,172,660 2,086,330 1,043,165 3,129,496 1,564,748 782,374 391,187 1,173,562 586,781 1,760,344 880,172 440,086 220,043 660,130 330,065 990,196 495,098 247,549 742,648 371,324 185,662 92,831 278,494 139,247 417,742 208,871 626,614 313,307 939,922 469,961 1,409,884 704,942 352,471 1,057,414 528,707 1,586,122 793,061 2,379,184 1,189,592 594,796 297,398 148,699 446,098 223,049 669,148 334,574 167,287 501,862 250,931 752,794 376,397 1,129,192 564,596

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