9,608,733

3³ × 23 × 15473

9,608,733 factors as 3^3 × 23 × 15473. Its 16 positive divisors give a proper-divisor sum of 5,246,307, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 3^3 × 23 × 15473

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,855,040

Proper Divisor Sum 5,246,307

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9608717 ← → #9608743

Radix Representation

Decimal	9608733
Binary	100100101001111000011101 (24 bits)
Octal	0o44517035
Hexadecimal	0x929E1D

Divisor Catalog (16)

1 3 9 23 27 69 207 621 15,473 46,419 139,257 355,879 417,771 1,067,637 3,202,911 9,608,733

Collatz Trajectory (93 steps to reach 1)

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

9,608,733 28,826,200 14,413,100 7,206,550 3,603,275 10,809,826 5,404,913 16,214,740 8,107,370 4,053,685 12,161,056 6,080,528 3,040,264 1,520,132 760,066 380,033 1,140,100 570,050 285,025 855,076 427,538 213,769 641,308 320,654 160,327 480,982 240,491 721,474 360,737 1,082,212 541,106 270,553 811,660 405,830 202,915 608,746 304,373 913,120 456,560 228,280 114,140 57,070 28,535 85,606 42,803 128,410 64,205 192,616 96,308 48,154 24,077 72,232 36,116 18,058 9,029 27,088 13,544 6,772 3,386 1,693

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