42,960,346

2 × 11 × 13 × 150211

42,960,346 factors as 2 × 11 × 13 × 150211. Its 16 positive divisors give a proper-divisor sum of 32,746,502, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 150211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 75,706,848

Proper Divisor Sum 32,746,502

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #42960341 ← → #42960347

Radix Representation

Decimal	42960346
Binary	10100011111000010111011010 (26 bits)
Octal	0o243702732
Hexadecimal	0x28F85DA

Divisor Catalog (16)

1 2 11 13 22 26 143 286 150,211 300,422 1,652,321 1,952,743 3,304,642 3,905,486 21,480,173 42,960,346

Collatz Trajectory (98 steps to reach 1)

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

42,960,346 21,480,173 64,440,520 32,220,260 16,110,130 8,055,065 24,165,196 12,082,598 6,041,299 18,123,898 9,061,949 27,185,848 13,592,924 6,796,462 3,398,231 10,194,694 5,097,347 15,292,042 7,646,021 22,938,064 11,469,032 5,734,516 2,867,258 1,433,629 4,300,888 2,150,444 1,075,222 537,611 1,612,834 806,417 2,419,252 1,209,626 604,813 1,814,440 907,220 453,610 226,805 680,416 340,208 170,104 85,052 42,526 21,263 63,790 31,895 95,686 47,843 143,530 71,765 215,296 107,648 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262

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