3,175,072

2⁵ × 313 × 317

3,175,072 factors as 2^5 × 313 × 317. Its 24 positive divisors give a proper-divisor sum of 3,115,604, so this integer is deficient. The Collatz stopping time is 45 steps.

Prime Factor Structure

Factorization String 2^5 × 313 × 317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,290,676

Proper Divisor Sum 3,115,604

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3175057 ← → #3175079

Radix Representation

Decimal	3175072
Binary	1100000111001010100000 (22 bits)
Octal	0o14071240
Hexadecimal	0x3072A0

Divisor Catalog (24)

1 2 4 8 16 32 313 317 626 634 1,252 1,268 2,504 2,536 5,008 5,072 10,016 10,144 99,221 198,442 396,884 793,768 1,587,536 3,175,072

Collatz Trajectory (45 steps to reach 1)

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

3,175,072 1,587,536 793,768 396,884 198,442 99,221 297,664 148,832 74,416 37,208 18,604 9,302 4,651 13,954 6,977 20,932 10,466 5,233 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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