λ
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2,376,012

22 × 3 × 389 × 509
Abundant Even Composite

2,376,012 factors as 2^2 × 3 × 389 × 509. Its 24 positive divisors give a proper-divisor sum of 3,193,188, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 389 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,569,200
Proper Divisor Sum 3,193,188
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2375993 ← → #2376013

Radix Representation

Decimal 2376012
Binary 1001000100000101001100 (22 bits)
Octal 0o11040514
Hexadecimal 0x24414C

Divisor Catalog (24)

1 2 3 4 6 12 389 509 778 1,018 1,167 1,527 1,556 2,036 2,334 3,054 4,668 6,108 198,001 396,002 594,003 792,004 1,188,006 2,376,012

Collatz Trajectory (68 steps to reach 1)

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

2,376,012 1,188,006 594,003 1,782,010 891,005 2,673,016 1,336,508 668,254 334,127 1,002,382 501,191 1,503,574 751,787 2,255,362 1,127,681 3,383,044 1,691,522 845,761 2,537,284 1,268,642 634,321 1,902,964 951,482 475,741 1,427,224 713,612 356,806 178,403 535,210 267,605 802,816 401,408 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

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