2,572,059

3 × 7² × 17497

2,572,059 factors as 3 × 7^2 × 17497. Its 12 positive divisors give a proper-divisor sum of 1,417,485, so this integer is deficient. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 17497

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,989,544

Proper Divisor Sum 1,417,485

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2572057 ← → #2572079

Radix Representation

Decimal	2572059
Binary	1001110011111100011011 (22 bits)
Octal	0o11637433
Hexadecimal	0x273F1B

Divisor Catalog (12)

1 3 7 21 49 147 17,497 52,491 122,479 367,437 857,353 2,572,059

Collatz Trajectory (130 steps to reach 1)

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

2,572,059 7,716,178 3,858,089 11,574,268 5,787,134 2,893,567 8,680,702 4,340,351 13,021,054 6,510,527 19,531,582 9,765,791 29,297,374 14,648,687 43,946,062 21,973,031 65,919,094 32,959,547 98,878,642 49,439,321 148,317,964 74,158,982 37,079,491 111,238,474 55,619,237 166,857,712 83,428,856 41,714,428 20,857,214 10,428,607 31,285,822 15,642,911 46,928,734 23,464,367 70,393,102 35,196,551 105,589,654 52,794,827 158,384,482 79,192,241 237,576,724 118,788,362 59,394,181 178,182,544 89,091,272 44,545,636 22,272,818 11,136,409 33,409,228 16,704,614 8,352,307 25,056,922 12,528,461 37,585,384 18,792,692 9,396,346 4,698,173 14,094,520 7,047,260 3,523,630

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