2,512,225

5² × 317²

2,512,225 factors as 5^2 × 317^2. Its 9 positive divisors give a proper-divisor sum of 612,792, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 5^2 × 317^2

Distinct Prime Factors 2

Square Status Yes (√2512225 = 1585)

Abundance Measure Deficient

Analytical Properties

Total Divisors 9

Divisor Sum (σ) 3,125,017

Proper Divisor Sum 612,792

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2512219 ← → #2512229

Radix Representation

Decimal	2512225
Binary	1001100101010101100001 (22 bits)
Octal	0o11452541
Hexadecimal	0x265561

Divisor Catalog (9)

1 5 25 317 1,585 7,925 100,489 502,445 2,512,225

Collatz Trajectory (156 steps to reach 1)

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

2,512,225 7,536,676 3,768,338 1,884,169 5,652,508 2,826,254 1,413,127 4,239,382 2,119,691 6,359,074 3,179,537 9,538,612 4,769,306 2,384,653 7,153,960 3,576,980 1,788,490 894,245 2,682,736 1,341,368 670,684 335,342 167,671 503,014 251,507 754,522 377,261 1,131,784 565,892 282,946 141,473 424,420 212,210 106,105 318,316 159,158 79,579 238,738 119,369 358,108 179,054 89,527 268,582 134,291 402,874 201,437 604,312 302,156 151,078 75,539 226,618 113,309 339,928 169,964 84,982 42,491 127,474 63,737 191,212 95,606

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