2,962,525

5² × 163 × 727

2,962,525 factors as 5^2 × 163 × 727. Its 12 positive divisors give a proper-divisor sum of 738,627, so this integer is deficient. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 5^2 × 163 × 727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,701,152

Proper Divisor Sum 738,627

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2962517 ← → #2962549

Radix Representation

Decimal	2962525
Binary	1011010011010001011101 (22 bits)
Octal	0o13232135
Hexadecimal	0x2D345D

Divisor Catalog (12)

1 5 25 163 727 815 3,635 4,075 18,175 118,501 592,505 2,962,525

Collatz Trajectory (63 steps to reach 1)

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

2,962,525 8,887,576 4,443,788 2,221,894 1,110,947 3,332,842 1,666,421 4,999,264 2,499,632 1,249,816 624,908 312,454 156,227 468,682 234,341 703,024 351,512 175,756 87,878 43,939 131,818 65,909 197,728 98,864 49,432 24,716 12,358 6,179 18,538 9,269 27,808 13,904 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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