67,642,828

2² × 11 × 1537337

67,642,828 factors as 2^2 × 11 × 1537337. Its 12 positive divisors give a proper-divisor sum of 61,493,564, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 1537337

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 129,136,392

Proper Divisor Sum 61,493,564

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #67642789 ← → #67642843

Radix Representation

Decimal	67642828
Binary	100000010000010010111001100 (27 bits)
Octal	0o402022714
Hexadecimal	0x40825CC

Divisor Catalog (12)

1 2 4 11 22 44 1,537,337 3,074,674 6,149,348 16,910,707 33,821,414 67,642,828

Collatz Trajectory (158 steps to reach 1)

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

67,642,828 33,821,414 16,910,707 50,732,122 25,366,061 76,098,184 38,049,092 19,024,546 9,512,273 28,536,820 14,268,410 7,134,205 21,402,616 10,701,308 5,350,654 2,675,327 8,025,982 4,012,991 12,038,974 6,019,487 18,058,462 9,029,231 27,087,694 13,543,847 40,631,542 20,315,771 60,947,314 30,473,657 91,420,972 45,710,486 22,855,243 68,565,730 34,282,865 102,848,596 51,424,298 25,712,149 77,136,448 38,568,224 19,284,112 9,642,056 4,821,028 2,410,514 1,205,257 3,615,772 1,807,886 903,943 2,711,830 1,355,915 4,067,746 2,033,873 6,101,620 3,050,810 1,525,405 4,576,216 2,288,108 1,144,054 572,027 1,716,082 858,041 2,574,124

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