7,688,341

31 × 37 × 6703

7,688,341 factors as 31 × 37 × 6703. Its 8 positive divisors give a proper-divisor sum of 463,723, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 31 × 37 × 6703

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,152,064

Proper Divisor Sum 463,723

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7688333 ← → #7688389

Radix Representation

Decimal	7688341
Binary	11101010101000010010101 (23 bits)
Octal	0o35250225
Hexadecimal	0x755095

Divisor Catalog (8)

1 31 37 1,147 6,703 207,793 248,011 7,688,341

Collatz Trajectory (173 steps to reach 1)

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

7,688,341 23,065,024 11,532,512 5,766,256 2,883,128 1,441,564 720,782 360,391 1,081,174 540,587 1,621,762 810,881 2,432,644 1,216,322 608,161 1,824,484 912,242 456,121 1,368,364 684,182 342,091 1,026,274 513,137 1,539,412 769,706 384,853 1,154,560 577,280 288,640 144,320 72,160 36,080 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134

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