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Atlas › Integer Profiles › Node 20,005,752

20,005,752

23 × 3 × 13 × 37 × 1733
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 37 × 1733
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 55,349,280
Proper Divisor Sum 35,343,528
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20005729 ← → #20005763

Radix Representation

Decimal 20005752
Binary 1001100010100001101111000 (25 bits)
Octal 0o114241570
Hexadecimal 0x1314378

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1,443 1,733 1,924 2,886 3,466 3,848 5,199 5,772 6,932 10,398 11,544 13,864 20,796 22,529 41,592 45,058 64,121 67,587 90,116 128,242 135,174 180,232 192,363 256,484 270,348 384,726 512,968 540,696 769,452 833,573 1,538,904 1,667,146 2,500,719 3,334,292

Collatz Trajectory (190 steps to reach 1)

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

20,005,752 10,002,876 5,001,438 2,500,719 7,502,158 3,751,079 11,253,238 5,626,619 16,879,858 8,439,929 25,319,788 12,659,894 6,329,947 18,989,842 9,494,921 28,484,764 14,242,382 7,121,191 21,363,574 10,681,787 32,045,362 16,022,681 48,068,044 24,034,022 12,017,011 36,051,034 18,025,517 54,076,552 27,038,276 13,519,138 6,759,569 20,278,708 10,139,354 5,069,677 15,209,032 7,604,516 3,802,258 1,901,129 5,703,388 2,851,694 1,425,847 4,277,542 2,138,771 6,416,314 3,208,157 9,624,472 4,812,236 2,406,118 1,203,059 3,609,178 1,804,589 5,413,768 2,706,884 1,353,442 676,721 2,030,164 1,015,082 507,541 1,522,624 761,312

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