48,003,012

2² × 3² × 1333417

48,003,012 factors as 2^2 × 3^2 × 1333417. Its 18 positive divisors give a proper-divisor sum of 73,338,026, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 1333417

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 121,341,038

Proper Divisor Sum 73,338,026

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #48002963 ← → #48003013

Radix Representation

Decimal	48003012
Binary	10110111000111011111000100 (26 bits)
Octal	0o267073704
Hexadecimal	0x2DC77C4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 1,333,417 2,666,834 4,000,251 5,333,668 8,000,502 12,000,753 16,001,004 24,001,506 48,003,012

Collatz Trajectory (116 steps to reach 1)

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

48,003,012 24,001,506 12,000,753 36,002,260 18,001,130 9,000,565 27,001,696 13,500,848 6,750,424 3,375,212 1,687,606 843,803 2,531,410 1,265,705 3,797,116 1,898,558 949,279 2,847,838 1,423,919 4,271,758 2,135,879 6,407,638 3,203,819 9,611,458 4,805,729 14,417,188 7,208,594 3,604,297 10,812,892 5,406,446 2,703,223 8,109,670 4,054,835 12,164,506 6,082,253 18,246,760 9,123,380 4,561,690 2,280,845 6,842,536 3,421,268 1,710,634 855,317 2,565,952 1,282,976 641,488 320,744 160,372 80,186 40,093 120,280 60,140 30,070 15,035 45,106 22,553 67,660 33,830 16,915 50,746

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