10,826,309

13² × 29 × 47²

10,826,309 factors as 13^2 × 29 × 47^2. Its 18 positive divisors give a proper-divisor sum of 1,564,621, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 13^2 × 29 × 47^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 12,390,930

Proper Divisor Sum 1,564,621

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #10826287 ← → #10826317

Radix Representation

Decimal	10826309
Binary	101001010011001001000101 (24 bits)
Octal	0o51231105
Hexadecimal	0xA53245

Divisor Catalog (18)

1 13 29 47 169 377 611 1,363 2,209 4,901 7,943 17,719 28,717 64,061 230,347 373,321 832,793 10,826,309

Collatz Trajectory (70 steps to reach 1)

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

10,826,309 32,478,928 16,239,464 8,119,732 4,059,866 2,029,933 6,089,800 3,044,900 1,522,450 761,225 2,283,676 1,141,838 570,919 1,712,758 856,379 2,569,138 1,284,569 3,853,708 1,926,854 963,427 2,890,282 1,445,141 4,335,424 2,167,712 1,083,856 541,928 270,964 135,482 67,741 203,224 101,612 50,806 25,403 76,210 38,105 114,316 57,158 28,579 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53

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