9,623,972

2² × 17 × 141529

9,623,972 factors as 2^2 × 17 × 141529. Its 12 positive divisors give a proper-divisor sum of 8,208,808, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 141529

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,832,780

Proper Divisor Sum 8,208,808

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #9623953 ← → #9623983

Radix Representation

Decimal	9623972
Binary	100100101101100110100100 (24 bits)
Octal	0o44554644
Hexadecimal	0x92D9A4

Divisor Catalog (12)

1 2 4 17 34 68 141,529 283,058 566,116 2,405,993 4,811,986 9,623,972

Collatz Trajectory (238 steps to reach 1)

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

9,623,972 4,811,986 2,405,993 7,217,980 3,608,990 1,804,495 5,413,486 2,706,743 8,120,230 4,060,115 12,180,346 6,090,173 18,270,520 9,135,260 4,567,630 2,283,815 6,851,446 3,425,723 10,277,170 5,138,585 15,415,756 7,707,878 3,853,939 11,561,818 5,780,909 17,342,728 8,671,364 4,335,682 2,167,841 6,503,524 3,251,762 1,625,881 4,877,644 2,438,822 1,219,411 3,658,234 1,829,117 5,487,352 2,743,676 1,371,838 685,919 2,057,758 1,028,879 3,086,638 1,543,319 4,629,958 2,314,979 6,944,938 3,472,469 10,417,408 5,208,704 2,604,352 1,302,176 651,088 325,544 162,772 81,386 40,693 122,080 61,040

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