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Atlas › Integer Profiles › Node 48,410,112

48,410,112

29 × 3 × 31517
Abundant Even Composite

48,410,112 factors as 2^9 × 3 × 31517. Its 40 positive divisors give a proper-divisor sum of 80,561,544, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^9 × 3 × 31517
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 128,971,656
Proper Divisor Sum 80,561,544
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #48410107 ← → #48410123

Radix Representation

Decimal 48410112
Binary 10111000101010111000000000 (26 bits)
Octal 0o270527000
Hexadecimal 0x2E2AE00

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1,536 31,517 63,034 94,551 126,068 189,102 252,136 378,204 504,272 756,408 1,008,544 1,512,816 2,017,088 3,025,632 4,034,176 6,051,264 8,068,352 12,102,528 16,136,704 24,205,056 48,410,112

Collatz Trajectory (137 steps to reach 1)

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

48,410,112 24,205,056 12,102,528 6,051,264 3,025,632 1,512,816 756,408 378,204 189,102 94,551 283,654 141,827 425,482 212,741 638,224 319,112 159,556 79,778 39,889 119,668 59,834 29,917 89,752 44,876 22,438 11,219 33,658 16,829 50,488 25,244 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191

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