3,117,525

3 × 5² × 197 × 211

3,117,525 factors as 3 × 5^2 × 197 × 211. Its 24 positive divisors give a proper-divisor sum of 2,087,499, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 197 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,205,024

Proper Divisor Sum 2,087,499

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3117523 ← → #3117553

Radix Representation

Decimal	3117525
Binary	1011111001000111010101 (22 bits)
Octal	0o13710725
Hexadecimal	0x2F91D5

Divisor Catalog (24)

Collatz Trajectory (151 steps to reach 1)

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

3,117,525 9,352,576 4,676,288 2,338,144 1,169,072 584,536 292,268 146,134 73,067 219,202 109,601 328,804 164,402 82,201 246,604 123,302 61,651 184,954 92,477 277,432 138,716 69,358 34,679 104,038 52,019 156,058 78,029 234,088 117,044 58,522 29,261 87,784 43,892 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550

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