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Atlas › Integer Profiles › Node 25,752,666

25,752,666

2 × 3 × 37 × 311 × 373
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 37 × 311 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 53,209,728
Proper Divisor Sum 27,457,062
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #25752641 ← → #25752673

Radix Representation

Decimal 25752666
Binary 1100010001111010001011010 (25 bits)
Octal 0o142172132
Hexadecimal 0x188F45A

Divisor Catalog (32)

1 2 3 6 37 74 111 222 311 373 622 746 933 1,119 1,866 2,238 11,507 13,801 23,014 27,602 34,521 41,403 69,042 82,806 116,003 232,006 348,009 696,018 4,292,111 8,584,222 12,876,333 25,752,666

Collatz Trajectory (48 steps to reach 1)

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

25,752,666 12,876,333 38,629,000 19,314,500 9,657,250 4,828,625 14,485,876 7,242,938 3,621,469 10,864,408 5,432,204 2,716,102 1,358,051 4,074,154 2,037,077 6,111,232 3,055,616 1,527,808 763,904 381,952 190,976 95,488 47,744 23,872 11,936 5,968 2,984 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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