2,573,252

2² × 11 × 233 × 251

2,573,252 factors as 2^2 × 11 × 233 × 251. Its 24 positive divisors give a proper-divisor sum of 2,380,060, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 233 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,953,312

Proper Divisor Sum 2,380,060

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2573251 ← → #2573261

Radix Representation

Decimal	2573252
Binary	1001110100001111000100 (22 bits)
Octal	0o11641704
Hexadecimal	0x2743C4

Divisor Catalog (24)

1 2 4 11 22 44 233 251 466 502 932 1,004 2,563 2,761 5,126 5,522 10,252 11,044 58,483 116,966 233,932 643,313 1,286,626 2,573,252

Collatz Trajectory (125 steps to reach 1)

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

2,573,252 1,286,626 643,313 1,929,940 964,970 482,485 1,447,456 723,728 361,864 180,932 90,466 45,233 135,700 67,850 33,925 101,776 50,888 25,444 12,722 6,361 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360

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