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Atlas › Integer Profiles › Node 48,134,752

48,134,752

25 × 17 × 19 × 4657
Abundant Even Composite

48,134,752 factors as 2^5 × 17 × 19 × 4657. Its 48 positive divisors give a proper-divisor sum of 57,508,688, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 19 × 4657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 105,643,440
Proper Divisor Sum 57,508,688
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #48134747 ← → #48134753

Radix Representation

Decimal 48134752
Binary 10110111100111101001100000 (26 bits)
Octal 0o267475140
Hexadecimal 0x2DE7A60

Divisor Catalog (48)

1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1,292 2,584 4,657 5,168 9,314 10,336 18,628 37,256 74,512 79,169 88,483 149,024 158,338 176,966 316,676 353,932 633,352 707,864 1,266,704 1,415,728 1,504,211 2,533,408 2,831,456 3,008,422 6,016,844 12,033,688 24,067,376 48,134,752

Collatz Trajectory (168 steps to reach 1)

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

48,134,752 24,067,376 12,033,688 6,016,844 3,008,422 1,504,211 4,512,634 2,256,317 6,768,952 3,384,476 1,692,238 846,119 2,538,358 1,269,179 3,807,538 1,903,769 5,711,308 2,855,654 1,427,827 4,283,482 2,141,741 6,425,224 3,212,612 1,606,306 803,153 2,409,460 1,204,730 602,365 1,807,096 903,548 451,774 225,887 677,662 338,831 1,016,494 508,247 1,524,742 762,371 2,287,114 1,143,557 3,430,672 1,715,336 857,668 428,834 214,417 643,252 321,626 160,813 482,440 241,220 120,610 60,305 180,916 90,458 45,229 135,688 67,844 33,922 16,961 50,884

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