7,304,747

17 × 31 × 83 × 167

7,304,747 factors as 17 × 31 × 83 × 167. Its 16 positive divisors give a proper-divisor sum of 823,765, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 17 × 31 × 83 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,128,512

Proper Divisor Sum 823,765

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7304729 ← → #7304749

Radix Representation

Decimal	7304747
Binary	11011110111011000101011 (23 bits)
Octal	0o33673053
Hexadecimal	0x6F762B

Divisor Catalog (16)

1 17 31 83 167 527 1,411 2,573 2,839 5,177 13,861 43,741 88,009 235,637 429,691 7,304,747

Collatz Trajectory (142 steps to reach 1)

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

7,304,747 21,914,242 10,957,121 32,871,364 16,435,682 8,217,841 24,653,524 12,326,762 6,163,381 18,490,144 9,245,072 4,622,536 2,311,268 1,155,634 577,817 1,733,452 866,726 433,363 1,300,090 650,045 1,950,136 975,068 487,534 243,767 731,302 365,651 1,096,954 548,477 1,645,432 822,716 411,358 205,679 617,038 308,519 925,558 462,779 1,388,338 694,169 2,082,508 1,041,254 520,627 1,561,882 780,941 2,342,824 1,171,412 585,706 292,853 878,560 439,280 219,640 109,820 54,910 27,455 82,366 41,183 123,550 61,775 185,326 92,663 277,990

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