7,671,165

3 × 5 × 17 × 67 × 449

7,671,165 factors as 3 × 5 × 17 × 67 × 449. Its 32 positive divisors give a proper-divisor sum of 5,548,035, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 67 × 449

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,219,200

Proper Divisor Sum 5,548,035

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7671163 ← → #7671179

Radix Representation

Decimal	7671165
Binary	11101010000110101111101 (23 bits)
Octal	0o35206575
Hexadecimal	0x750D7D

Divisor Catalog (32)

1 3 5 15 17 51 67 85 201 255 335 449 1,005 1,139 1,347 2,245 3,417 5,695 6,735 7,633 17,085 22,899 30,083 38,165 90,249 114,495 150,415 451,245 511,411 1,534,233 2,557,055 7,671,165

Collatz Trajectory (124 steps to reach 1)

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

7,671,165 23,013,496 11,506,748 5,753,374 2,876,687 8,630,062 4,315,031 12,945,094 6,472,547 19,417,642 9,708,821 29,126,464 14,563,232 7,281,616 3,640,808 1,820,404 910,202 455,101 1,365,304 682,652 341,326 170,663 511,990 255,995 767,986 383,993 1,151,980 575,990 287,995 863,986 431,993 1,295,980 647,990 323,995 971,986 485,993 1,457,980 728,990 364,495 1,093,486 546,743 1,640,230 820,115 2,460,346 1,230,173 3,690,520 1,845,260 922,630 461,315 1,383,946 691,973 2,075,920 1,037,960 518,980 259,490 129,745 389,236 194,618 97,309 291,928

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