8,928,633

3 × 7³ × 8677

8,928,633 factors as 3 × 7^3 × 8677. Its 16 positive divisors give a proper-divisor sum of 4,956,167, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 7^3 × 8677

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,884,800

Proper Divisor Sum 4,956,167

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8928599 ← → #8928643

Radix Representation

Decimal	8928633
Binary	100010000011110101111001 (24 bits)
Octal	0o42036571
Hexadecimal	0x883D79

Divisor Catalog (16)

1 3 7 21 49 147 343 1,029 8,677 26,031 60,739 182,217 425,173 1,275,519 2,976,211 8,928,633

Collatz Trajectory (199 steps to reach 1)

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

8,928,633 26,785,900 13,392,950 6,696,475 20,089,426 10,044,713 30,134,140 15,067,070 7,533,535 22,600,606 11,300,303 33,900,910 16,950,455 50,851,366 25,425,683 76,277,050 38,138,525 114,415,576 57,207,788 28,603,894 14,301,947 42,905,842 21,452,921 64,358,764 32,179,382 16,089,691 48,269,074 24,134,537 72,403,612 36,201,806 18,100,903 54,302,710 27,151,355 81,454,066 40,727,033 122,181,100 61,090,550 30,545,275 91,635,826 45,817,913 137,453,740 68,726,870 34,363,435 103,090,306 51,545,153 154,635,460 77,317,730 38,658,865 115,976,596 57,988,298 28,994,149 86,982,448 43,491,224 21,745,612 10,872,806 5,436,403 16,309,210 8,154,605 24,463,816 12,231,908

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