9,645,784

2³ × 241 × 5003

9,645,784 factors as 2^3 × 241 × 5003. Its 16 positive divisors give a proper-divisor sum of 8,518,736, so this integer is deficient. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^3 × 241 × 5003

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,164,520

Proper Divisor Sum 8,518,736

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9645781 ← → #9645791

Radix Representation

Decimal	9645784
Binary	100100110010111011011000 (24 bits)
Octal	0o44627330
Hexadecimal	0x932ED8

Divisor Catalog (16)

1 2 4 8 241 482 964 1,928 5,003 10,006 20,012 40,024 1,205,723 2,411,446 4,822,892 9,645,784

Collatz Trajectory (176 steps to reach 1)

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

9,645,784 4,822,892 2,411,446 1,205,723 3,617,170 1,808,585 5,425,756 2,712,878 1,356,439 4,069,318 2,034,659 6,103,978 3,051,989 9,155,968 4,577,984 2,288,992 1,144,496 572,248 286,124 143,062 71,531 214,594 107,297 321,892 160,946 80,473 241,420 120,710 60,355 181,066 90,533 271,600 135,800 67,900 33,950 16,975 50,926 25,463 76,390 38,195 114,586 57,293 171,880 85,940 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199

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