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Atlas › Integer Profiles › Node 25,523,928

25,523,928

23 × 32 × 23 × 15413
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 23 × 15413
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 72,137,520
Proper Divisor Sum 46,613,592
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #25523921 ← → #25523929

Radix Representation

Decimal 25523928
Binary 1100001010111011011011000 (25 bits)
Octal 0o141273330
Hexadecimal 0x18576D8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1,656 15,413 30,826 46,239 61,652 92,478 123,304 138,717 184,956 277,434 354,499 369,912 554,868 708,998 1,063,497 1,109,736 1,417,996 2,126,994 2,835,992 3,190,491 4,253,988 6,380,982 8,507,976 12,761,964 25,523,928

Collatz Trajectory (154 steps to reach 1)

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

25,523,928 12,761,964 6,380,982 3,190,491 9,571,474 4,785,737 14,357,212 7,178,606 3,589,303 10,767,910 5,383,955 16,151,866 8,075,933 24,227,800 12,113,900 6,056,950 3,028,475 9,085,426 4,542,713 13,628,140 6,814,070 3,407,035 10,221,106 5,110,553 15,331,660 7,665,830 3,832,915 11,498,746 5,749,373 17,248,120 8,624,060 4,312,030 2,156,015 6,468,046 3,234,023 9,702,070 4,851,035 14,553,106 7,276,553 21,829,660 10,914,830 5,457,415 16,372,246 8,186,123 24,558,370 12,279,185 36,837,556 18,418,778 9,209,389 27,628,168 13,814,084 6,907,042 3,453,521 10,360,564 5,180,282 2,590,141 7,770,424 3,885,212 1,942,606 971,303

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