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Atlas › Integer Profiles › Node 14,567,740

14,567,740

22 × 5 × 11 × 23 × 2879
Abundant Even Composite

14,567,740 factors as 2^2 × 5 × 11 × 23 × 2879. Its 48 positive divisors give a proper-divisor sum of 20,268,740, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 23 × 2879
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 34,836,480
Proper Divisor Sum 20,268,740
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #14567719 ← → #14567747

Radix Representation

Decimal 14567740
Binary 110111100100100100111100 (24 bits)
Octal 0o67444474
Hexadecimal 0xDE493C

Divisor Catalog (48)

1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1,012 1,265 2,530 2,879 5,060 5,758 11,516 14,395 28,790 31,669 57,580 63,338 66,217 126,676 132,434 158,345 264,868 316,690 331,085 633,380 662,170 728,387 1,324,340 1,456,774 2,913,548 3,641,935 7,283,870 14,567,740

Collatz Trajectory (112 steps to reach 1)

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

14,567,740 7,283,870 3,641,935 10,925,806 5,462,903 16,388,710 8,194,355 24,583,066 12,291,533 36,874,600 18,437,300 9,218,650 4,609,325 13,827,976 6,913,988 3,456,994 1,728,497 5,185,492 2,592,746 1,296,373 3,889,120 1,944,560 972,280 486,140 243,070 121,535 364,606 182,303 546,910 273,455 820,366 410,183 1,230,550 615,275 1,845,826 922,913 2,768,740 1,384,370 692,185 2,076,556 1,038,278 519,139 1,557,418 778,709 2,336,128 1,168,064 584,032 292,016 146,008 73,004 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400

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