2,572,575

3 × 5² × 34301

2,572,575 factors as 3 × 5^2 × 34301. Its 12 positive divisors give a proper-divisor sum of 1,680,873, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 34301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,253,448

Proper Divisor Sum 1,680,873

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2572529 ← → #2572589

Radix Representation

Decimal	2572575
Binary	1001110100000100011111 (22 bits)
Octal	0o11640437
Hexadecimal	0x27411F

Divisor Catalog (12)

1 3 5 15 25 75 34,301 102,903 171,505 514,515 857,525 2,572,575

Collatz Trajectory (218 steps to reach 1)

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

2,572,575 7,717,726 3,858,863 11,576,590 5,788,295 17,364,886 8,682,443 26,047,330 13,023,665 39,070,996 19,535,498 9,767,749 29,303,248 14,651,624 7,325,812 3,662,906 1,831,453 5,494,360 2,747,180 1,373,590 686,795 2,060,386 1,030,193 3,090,580 1,545,290 772,645 2,317,936 1,158,968 579,484 289,742 144,871 434,614 217,307 651,922 325,961 977,884 488,942 244,471 733,414 366,707 1,100,122 550,061 1,650,184 825,092 412,546 206,273 618,820 309,410 154,705 464,116 232,058 116,029 348,088 174,044 87,022 43,511 130,534 65,267 195,802 97,901

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