9,725,967

3³ × 19 × 18959

9,725,967 factors as 3^3 × 19 × 18959. Its 16 positive divisors give a proper-divisor sum of 5,442,033, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3^3 × 19 × 18959

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,168,000

Proper Divisor Sum 5,442,033

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9725959 ← → #9726001

Radix Representation

Decimal	9725967
Binary	100101000110100000001111 (24 bits)
Octal	0o45064017
Hexadecimal	0x94680F

Divisor Catalog (16)

1 3 9 19 27 57 171 513 18,959 56,877 170,631 360,221 511,893 1,080,663 3,241,989 9,725,967

Collatz Trajectory (114 steps to reach 1)

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

9,725,967 29,177,902 14,588,951 43,766,854 21,883,427 65,650,282 32,825,141 98,475,424 49,237,712 24,618,856 12,309,428 6,154,714 3,077,357 9,232,072 4,616,036 2,308,018 1,154,009 3,462,028 1,731,014 865,507 2,596,522 1,298,261 3,894,784 1,947,392 973,696 486,848 243,424 121,712 60,856 30,428 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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