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Atlas › Integer Profiles › Node 48,731,624

48,731,624

23 × 79 × 83 × 929
Deficient Even Composite

48,731,624 factors as 2^3 × 79 × 83 × 929. Its 32 positive divisors give a proper-divisor sum of 45,012,376, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 79 × 83 × 929
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,744,000
Proper Divisor Sum 45,012,376
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #48731531 ← → #48731633

Radix Representation

Decimal 48731624
Binary 10111001111001010111101000 (26 bits)
Octal 0o271712750
Hexadecimal 0x2E795E8

Divisor Catalog (32)

1 2 4 8 79 83 158 166 316 332 632 664 929 1,858 3,716 6,557 7,432 13,114 26,228 52,456 73,391 77,107 146,782 154,214 293,564 308,428 587,128 616,856 6,091,453 12,182,906 24,365,812 48,731,624

Collatz Trajectory (199 steps to reach 1)

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

48,731,624 24,365,812 12,182,906 6,091,453 18,274,360 9,137,180 4,568,590 2,284,295 6,852,886 3,426,443 10,279,330 5,139,665 15,418,996 7,709,498 3,854,749 11,564,248 5,782,124 2,891,062 1,445,531 4,336,594 2,168,297 6,504,892 3,252,446 1,626,223 4,878,670 2,439,335 7,318,006 3,659,003 10,977,010 5,488,505 16,465,516 8,232,758 4,116,379 12,349,138 6,174,569 18,523,708 9,261,854 4,630,927 13,892,782 6,946,391 20,839,174 10,419,587 31,258,762 15,629,381 46,888,144 23,444,072 11,722,036 5,861,018 2,930,509 8,791,528 4,395,764 2,197,882 1,098,941 3,296,824 1,648,412 824,206 412,103 1,236,310 618,155 1,854,466

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