4,331,817

3² × 7 × 29 × 2371

4,331,817 has digital root 9. The neighboring primes are 4331809 and 4331827; its proper-divisor sum differs from the starting integer by -1,262,994.

Prime Factor Structure

Factorization String 3^2 × 7 × 29 × 2371

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,400,640

Proper Divisor Sum 3,068,823

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4331809 ← → #4331827

Radix Representation

Decimal	4331817
Binary	10000100001100100101001 (23 bits)
Octal	0o20414451
Hexadecimal	0x421929

Divisor Catalog (24)

1 3 7 9 21 29 63 87 203 261 609 1,827 2,371 7,113 16,597 21,339 49,791 68,759 149,373 206,277 481,313 618,831 1,443,939 4,331,817

Collatz Trajectory (105 steps to reach 1)

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

4,331,817 12,995,452 6,497,726 3,248,863 9,746,590 4,873,295 14,619,886 7,309,943 21,929,830 10,964,915 32,894,746 16,447,373 49,342,120 24,671,060 12,335,530 6,167,765 18,503,296 9,251,648 4,625,824 2,312,912 1,156,456 578,228 289,114 144,557 433,672 216,836 108,418 54,209 162,628 81,314 40,657 121,972 60,986 30,493 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764

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