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Atlas › Integer Profiles › Node 28,467,664

28,467,664

24 × 73 × 24373
Deficient Even Composite

28,467,664 factors as 2^4 × 73 × 24373. Its 20 positive divisors give a proper-divisor sum of 27,446,292, so this integer is deficient. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^4 × 73 × 24373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 55,913,956
Proper Divisor Sum 27,446,292
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #28467631 ← → #28467701

Radix Representation

Decimal 28467664
Binary 1101100100110000111010000 (25 bits)
Octal 0o154460720
Hexadecimal 0x1B261D0

Divisor Catalog (20)

1 2 4 8 16 73 146 292 584 1,168 24,373 48,746 97,492 194,984 389,968 1,779,229 3,558,458 7,116,916 14,233,832 28,467,664

Collatz Trajectory (56 steps to reach 1)

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

28,467,664 14,233,832 7,116,916 3,558,458 1,779,229 5,337,688 2,668,844 1,334,422 667,211 2,001,634 1,000,817 3,002,452 1,501,226 750,613 2,251,840 1,125,920 562,960 281,480 140,740 70,370 35,185 105,556 52,778 26,389 79,168 39,584 19,792 9,896 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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