48,631,432

2³ × 73 × 83273

48,631,432 factors as 2^3 × 73 × 83273. Its 16 positive divisors give a proper-divisor sum of 43,802,708, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 73 × 83273

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 92,434,140

Proper Divisor Sum 43,802,708

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #48631423 ← → #48631447

Radix Representation

Decimal	48631432
Binary	10111001100000111010001000 (26 bits)
Octal	0o271407210
Hexadecimal	0x2E60E88

Divisor Catalog (16)

1 2 4 8 73 146 292 584 83,273 166,546 333,092 666,184 6,078,929 12,157,858 24,315,716 48,631,432

Collatz Trajectory (111 steps to reach 1)

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

48,631,432 24,315,716 12,157,858 6,078,929 18,236,788 9,118,394 4,559,197 13,677,592 6,838,796 3,419,398 1,709,699 5,129,098 2,564,549 7,693,648 3,846,824 1,923,412 961,706 480,853 1,442,560 721,280 360,640 180,320 90,160 45,080 22,540 11,270 5,635 16,906 8,453 25,360 12,680 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438

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