2,597,229

3² × 23 × 12547

2,597,229 factors as 3^2 × 23 × 12547. Its 12 positive divisors give a proper-divisor sum of 1,317,747, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 12547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,914,976

Proper Divisor Sum 1,317,747

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2597207 ← → #2597233

Radix Representation

Decimal	2597229
Binary	1001111010000101101101 (22 bits)
Octal	0o11720555
Hexadecimal	0x27A16D

Divisor Catalog (12)

1 3 9 23 69 207 12,547 37,641 112,923 288,581 865,743 2,597,229

Collatz Trajectory (156 steps to reach 1)

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

2,597,229 7,791,688 3,895,844 1,947,922 973,961 2,921,884 1,460,942 730,471 2,191,414 1,095,707 3,287,122 1,643,561 4,930,684 2,465,342 1,232,671 3,698,014 1,849,007 5,547,022 2,773,511 8,320,534 4,160,267 12,480,802 6,240,401 18,721,204 9,360,602 4,680,301 14,040,904 7,020,452 3,510,226 1,755,113 5,265,340 2,632,670 1,316,335 3,949,006 1,974,503 5,923,510 2,961,755 8,885,266 4,442,633 13,327,900 6,663,950 3,331,975 9,995,926 4,997,963 14,993,890 7,496,945 22,490,836 11,245,418 5,622,709 16,868,128 8,434,064 4,217,032 2,108,516 1,054,258 527,129 1,581,388 790,694 395,347 1,186,042 593,021

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