2,912,013

3² × 13 × 24889

2,912,013 factors as 3^2 × 13 × 24889. Its 12 positive divisors give a proper-divisor sum of 1,617,967, so this integer is deficient. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 24889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,529,980

Proper Divisor Sum 1,617,967

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2912009 ← → #2912023

Radix Representation

Decimal	2912013
Binary	1011000110111100001101 (22 bits)
Octal	0o13067415
Hexadecimal	0x2C6F0D

Divisor Catalog (12)

1 3 9 13 39 117 24,889 74,667 224,001 323,557 970,671 2,912,013

Collatz Trajectory (94 steps to reach 1)

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

2,912,013 8,736,040 4,368,020 2,184,010 1,092,005 3,276,016 1,638,008 819,004 409,502 204,751 614,254 307,127 921,382 460,691 1,382,074 691,037 2,073,112 1,036,556 518,278 259,139 777,418 388,709 1,166,128 583,064 291,532 145,766 72,883 218,650 109,325 327,976 163,988 81,994 40,997 122,992 61,496 30,748 15,374 7,687 23,062 11,531 34,594 17,297 51,892 25,946 12,973 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080

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