2,976,142

2 × 13 × 114467

2,976,142 factors as 2 × 13 × 114467. Its 8 positive divisors give a proper-divisor sum of 1,831,514, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 13 × 114467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,807,656

Proper Divisor Sum 1,831,514

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2976133 ← → #2976151

Radix Representation

Decimal	2976142
Binary	1011010110100110001110 (22 bits)
Octal	0o13264616
Hexadecimal	0x2D698E

Divisor Catalog (8)

1 2 13 26 114,467 228,934 1,488,071 2,976,142

Collatz Trajectory (120 steps to reach 1)

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

2,976,142 1,488,071 4,464,214 2,232,107 6,696,322 3,348,161 10,044,484 5,022,242 2,511,121 7,533,364 3,766,682 1,883,341 5,650,024 2,825,012 1,412,506 706,253 2,118,760 1,059,380 529,690 264,845 794,536 397,268 198,634 99,317 297,952 148,976 74,488 37,244 18,622 9,311 27,934 13,967 41,902 20,951 62,854 31,427 94,282 47,141 141,424 70,712 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148

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