2,508,625

5³ × 7 × 47 × 61

For 2,508,625, the 32 positive divisors have a total of 3,714,048. Removing 2,508,625 leaves 1,205,423, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^3 × 7 × 47 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,714,048

Proper Divisor Sum 1,205,423

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2508619 ← → #2508629

Radix Representation

Decimal	2508625
Binary	1001100100011101010001 (22 bits)
Octal	0o11443521
Hexadecimal	0x264751

Divisor Catalog (32)

1 5 7 25 35 47 61 125 175 235 305 329 427 875 1,175 1,525 1,645 2,135 2,867 5,875 7,625 8,225 10,675 14,335 20,069 41,125 53,375 71,675 100,345 358,375 501,725 2,508,625

Collatz Trajectory (112 steps to reach 1)

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

2,508,625 7,525,876 3,762,938 1,881,469 5,644,408 2,822,204 1,411,102 705,551 2,116,654 1,058,327 3,174,982 1,587,491 4,762,474 2,381,237 7,143,712 3,571,856 1,785,928 892,964 446,482 223,241 669,724 334,862 167,431 502,294 251,147 753,442 376,721 1,130,164 565,082 282,541 847,624 423,812 211,906 105,953 317,860 158,930 79,465 238,396 119,198 59,599 178,798 89,399 268,198 134,099 402,298 201,149 603,448 301,724 150,862 75,431 226,294 113,147 339,442 169,721 509,164 254,582 127,291 381,874 190,937 572,812

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