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Atlas › Integer Profiles › Node 28,518,136

28,518,136

23 × 29 × 83 × 1481
Deficient Even Composite

28,518,136 factors as 2^3 × 29 × 83 × 1481. Its 32 positive divisors give a proper-divisor sum of 27,501,464, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 83 × 1481
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,019,600
Proper Divisor Sum 27,501,464
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #28518121 ← → #28518167

Radix Representation

Decimal 28518136
Binary 1101100110010011011111000 (25 bits)
Octal 0o154623370
Hexadecimal 0x1B326F8

Divisor Catalog (32)

1 2 4 8 29 58 83 116 166 232 332 664 1,481 2,407 2,962 4,814 5,924 9,628 11,848 19,256 42,949 85,898 122,923 171,796 245,846 343,592 491,692 983,384 3,564,767 7,129,534 14,259,068 28,518,136

Collatz Trajectory (149 steps to reach 1)

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

28,518,136 14,259,068 7,129,534 3,564,767 10,694,302 5,347,151 16,041,454 8,020,727 24,062,182 12,031,091 36,093,274 18,046,637 54,139,912 27,069,956 13,534,978 6,767,489 20,302,468 10,151,234 5,075,617 15,226,852 7,613,426 3,806,713 11,420,140 5,710,070 2,855,035 8,565,106 4,282,553 12,847,660 6,423,830 3,211,915 9,635,746 4,817,873 14,453,620 7,226,810 3,613,405 10,840,216 5,420,108 2,710,054 1,355,027 4,065,082 2,032,541 6,097,624 3,048,812 1,524,406 762,203 2,286,610 1,143,305 3,429,916 1,714,958 857,479 2,572,438 1,286,219 3,858,658 1,929,329 5,787,988 2,893,994 1,446,997 4,340,992 2,170,496 1,085,248

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