8,367,689

11 × 17 × 29 × 1543

8,367,689 factors as 11 × 17 × 29 × 1543. Its 16 positive divisors give a proper-divisor sum of 1,637,431, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 11 × 17 × 29 × 1543

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,005,120

Proper Divisor Sum 1,637,431

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #8367683 ← → #8367707

Radix Representation

Decimal	8367689
Binary	11111111010111001001001 (23 bits)
Octal	0o37727111
Hexadecimal	0x7FAE49

Divisor Catalog (16)

1 11 17 29 187 319 493 1,543 5,423 16,973 26,231 44,747 288,541 492,217 760,699 8,367,689

Collatz Trajectory (168 steps to reach 1)

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

8,367,689 25,103,068 12,551,534 6,275,767 18,827,302 9,413,651 28,240,954 14,120,477 42,361,432 21,180,716 10,590,358 5,295,179 15,885,538 7,942,769 23,828,308 11,914,154 5,957,077 17,871,232 8,935,616 4,467,808 2,233,904 1,116,952 558,476 279,238 139,619 418,858 209,429 628,288 314,144 157,072 78,536 39,268 19,634 9,817 29,452 14,726 7,363 22,090 11,045 33,136 16,568 8,284 4,142 2,071 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41

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