2,825,151

3 × 7 × 29 × 4639

2,825,151 factors as 3 × 7 × 29 × 4639. Its 16 positive divisors give a proper-divisor sum of 1,629,249, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3 × 7 × 29 × 4639

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,454,400

Proper Divisor Sum 1,629,249

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2825149 ← → #2825153

Radix Representation

Decimal	2825151
Binary	1010110001101110111111 (22 bits)
Octal	0o12615677
Hexadecimal	0x2B1BBF

Divisor Catalog (16)

1 3 7 21 29 87 203 609 4,639 13,917 32,473 97,419 134,531 403,593 941,717 2,825,151

Collatz Trajectory (151 steps to reach 1)

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

2,825,151 8,475,454 4,237,727 12,713,182 6,356,591 19,069,774 9,534,887 28,604,662 14,302,331 42,906,994 21,453,497 64,360,492 32,180,246 16,090,123 48,270,370 24,135,185 72,405,556 36,202,778 18,101,389 54,304,168 27,152,084 13,576,042 6,788,021 20,364,064 10,182,032 5,091,016 2,545,508 1,272,754 636,377 1,909,132 954,566 477,283 1,431,850 715,925 2,147,776 1,073,888 536,944 268,472 134,236 67,118 33,559 100,678 50,339 151,018 75,509 226,528 113,264 56,632 28,316 14,158 7,079 21,238 10,619 31,858 15,929 47,788 23,894 11,947 35,842 17,921

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