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Atlas › Integer Profiles › Node 48,823,940

48,823,940

22 × 5 × 11 × 23 × 9649
Abundant Even Composite

48,823,940 factors as 2^2 × 5 × 11 × 23 × 9649. Its 48 positive divisors give a proper-divisor sum of 67,902,460, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 23 × 9649
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 116,726,400
Proper Divisor Sum 67,902,460
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #48823937 ← → #48823967

Radix Representation

Decimal 48823940
Binary 10111010001111111010000100 (26 bits)
Octal 0o272177204
Hexadecimal 0x2E8FE84

Divisor Catalog (48)

1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1,012 1,265 2,530 5,060 9,649 19,298 38,596 48,245 96,490 106,139 192,980 212,278 221,927 424,556 443,854 530,695 887,708 1,061,390 1,109,635 2,122,780 2,219,270 2,441,197 4,438,540 4,882,394 9,764,788 12,205,985 24,411,970 48,823,940

Collatz Trajectory (111 steps to reach 1)

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

48,823,940 24,411,970 12,205,985 36,617,956 18,308,978 9,154,489 27,463,468 13,731,734 6,865,867 20,597,602 10,298,801 30,896,404 15,448,202 7,724,101 23,172,304 11,586,152 5,793,076 2,896,538 1,448,269 4,344,808 2,172,404 1,086,202 543,101 1,629,304 814,652 407,326 203,663 610,990 305,495 916,486 458,243 1,374,730 687,365 2,062,096 1,031,048 515,524 257,762 128,881 386,644 193,322 96,661 289,984 144,992 72,496 36,248 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239

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