31,521

3 × 7 × 19 × 79

31,521 has the prime decomposition 3 × 7 × 19 × 79. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 19 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 51,200

Proper Divisor Sum 19,679

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #31517 ← → #31531

Radix Representation

Decimal	31521
Binary	111101100100001 (15 bits)
Octal	0o75441
Hexadecimal	0x7B21

Divisor Catalog (16)

1 3 7 19 21 57 79 133 237 399 553 1,501 1,659 4,503 10,507 31,521

Collatz Trajectory (178 steps to reach 1)

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

31,521 94,564 47,282 23,641 70,924 35,462 17,731 53,194 26,597 79,792 39,896 19,948 9,974 4,987 14,962 7,481 22,444 11,222 5,611 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202

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