3,272,391

3² × 31 × 37 × 317

3,272,391 has digital root 9. The neighboring primes are 3272387 and 3272419; its proper-divisor sum differs from the starting integer by -1,517,838.

Prime Factor Structure

Factorization String 3^2 × 31 × 37 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,026,944

Proper Divisor Sum 1,754,553

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3272387 ← → #3272419

Radix Representation

Decimal	3272391
Binary	1100011110111011000111 (22 bits)
Octal	0o14367307
Hexadecimal	0x31EEC7

Divisor Catalog (24)

1 3 9 31 37 93 111 279 317 333 951 1,147 2,853 3,441 9,827 10,323 11,729 29,481 35,187 88,443 105,561 363,599 1,090,797 3,272,391

Collatz Trajectory (146 steps to reach 1)

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

3,272,391 9,817,174 4,908,587 14,725,762 7,362,881 22,088,644 11,044,322 5,522,161 16,566,484 8,283,242 4,141,621 12,424,864 6,212,432 3,106,216 1,553,108 776,554 388,277 1,164,832 582,416 291,208 145,604 72,802 36,401 109,204 54,602 27,301 81,904 40,952 20,476 10,238 5,119 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152 166,076 83,038 41,519 124,558

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