7,672,317

3 × 23 × 251 × 443

7,672,317 has digital root 6. The neighboring primes are 7672307 and 7672319; its proper-divisor sum differs from the starting integer by -4,603,386.

Prime Factor Structure

Factorization String 3 × 23 × 251 × 443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,741,248

Proper Divisor Sum 3,068,931

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7672307 ← → #7672319

Radix Representation

Decimal	7672317
Binary	11101010001000111111101 (23 bits)
Octal	0o35210775
Hexadecimal	0x7511FD

Divisor Catalog (16)

1 3 23 69 251 443 753 1,329 5,773 10,189 17,319 30,567 111,193 333,579 2,557,439 7,672,317

Collatz Trajectory (204 steps to reach 1)

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

7,672,317 23,016,952 11,508,476 5,754,238 2,877,119 8,631,358 4,315,679 12,947,038 6,473,519 19,420,558 9,710,279 29,130,838 14,565,419 43,696,258 21,848,129 65,544,388 32,772,194 16,386,097 49,158,292 24,579,146 12,289,573 36,868,720 18,434,360 9,217,180 4,608,590 2,304,295 6,912,886 3,456,443 10,369,330 5,184,665 15,553,996 7,776,998 3,888,499 11,665,498 5,832,749 17,498,248 8,749,124 4,374,562 2,187,281 6,561,844 3,280,922 1,640,461 4,921,384 2,460,692 1,230,346 615,173 1,845,520 922,760 461,380 230,690 115,345 346,036 173,018 86,509 259,528 129,764 64,882 32,441 97,324 48,662

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