7,667,036

2² × 13 × 283 × 521

7,667,036 factors as 2^2 × 13 × 283 × 521. Its 24 positive divisors give a proper-divisor sum of 6,861,268, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 283 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,528,304

Proper Divisor Sum 6,861,268

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7667021 ← → #7667047

Radix Representation

Decimal	7667036
Binary	11101001111110101011100 (23 bits)
Octal	0o35176534
Hexadecimal	0x74FD5C

Divisor Catalog (24)

Collatz Trajectory (80 steps to reach 1)

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

7,667,036 3,833,518 1,916,759 5,750,278 2,875,139 8,625,418 4,312,709 12,938,128 6,469,064 3,234,532 1,617,266 808,633 2,425,900 1,212,950 606,475 1,819,426 909,713 2,729,140 1,364,570 682,285 2,046,856 1,023,428 511,714 255,857 767,572 383,786 191,893 575,680 287,840 143,920 71,960 35,980 17,990 8,995 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38

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