67,291,378

2 × 7 × 11 × 436957

67,291,378 factors as 2 × 7 × 11 × 436957. Its 16 positive divisors give a proper-divisor sum of 58,552,526, so this integer is deficient. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 436957

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 125,843,904

Proper Divisor Sum 58,552,526

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #67291363 ← → #67291403

Radix Representation

Decimal	67291378
Binary	100000000101100100011110010 (27 bits)
Octal	0o400544362
Hexadecimal	0x402C8F2

Divisor Catalog (16)

1 2 7 11 14 22 77 154 436,957 873,914 3,058,699 4,806,527 6,117,398 9,613,054 33,645,689 67,291,378

Collatz Trajectory (233 steps to reach 1)

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

67,291,378 33,645,689 100,937,068 50,468,534 25,234,267 75,702,802 37,851,401 113,554,204 56,777,102 28,388,551 85,165,654 42,582,827 127,748,482 63,874,241 191,622,724 95,811,362 47,905,681 143,717,044 71,858,522 35,929,261 107,787,784 53,893,892 26,946,946 13,473,473 40,420,420 20,210,210 10,105,105 30,315,316 15,157,658 7,578,829 22,736,488 11,368,244 5,684,122 2,842,061 8,526,184 4,263,092 2,131,546 1,065,773 3,197,320 1,598,660 799,330 399,665 1,198,996 599,498 299,749 899,248 449,624 224,812 112,406 56,203 168,610 84,305 252,916 126,458 63,229 189,688 94,844 47,422 23,711 71,134

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