λ
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Atlas › Integer Profiles › Node 48,246,732

48,246,732

22 × 33 × 23 × 19423
Abundant Even Composite

48,246,732 factors as 2^2 × 3^3 × 23 × 19423. Its 48 positive divisors give a proper-divisor sum of 82,282,548, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 23 × 19423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 130,529,280
Proper Divisor Sum 82,282,548
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #48246727 ← → #48246739

Radix Representation

Decimal 48246732
Binary 10111000000010111111001100 (26 bits)
Octal 0o270027714
Hexadecimal 0x2E02FCC

Divisor Catalog (48)

1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1,242 2,484 19,423 38,846 58,269 77,692 116,538 174,807 233,076 349,614 446,729 524,421 699,228 893,458 1,048,842 1,340,187 1,786,916 2,097,684 2,680,374 4,020,561 5,360,748 8,041,122 12,061,683 16,082,244 24,123,366 48,246,732

Collatz Trajectory (186 steps to reach 1)

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

48,246,732 24,123,366 12,061,683 36,185,050 18,092,525 54,277,576 27,138,788 13,569,394 6,784,697 20,354,092 10,177,046 5,088,523 15,265,570 7,632,785 22,898,356 11,449,178 5,724,589 17,173,768 8,586,884 4,293,442 2,146,721 6,440,164 3,220,082 1,610,041 4,830,124 2,415,062 1,207,531 3,622,594 1,811,297 5,433,892 2,716,946 1,358,473 4,075,420 2,037,710 1,018,855 3,056,566 1,528,283 4,584,850 2,292,425 6,877,276 3,438,638 1,719,319 5,157,958 2,578,979 7,736,938 3,868,469 11,605,408 5,802,704 2,901,352 1,450,676 725,338 362,669 1,088,008 544,004 272,002 136,001 408,004 204,002 102,001 306,004

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