3,609,976

2³ × 47 × 9601

3,609,976 factors as 2^3 × 47 × 9601. Its 16 positive divisors give a proper-divisor sum of 3,303,464, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^3 × 47 × 9601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,913,440

Proper Divisor Sum 3,303,464

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3609973 ← → #3609997

Radix Representation

Decimal	3609976
Binary	1101110001010101111000 (22 bits)
Octal	0o15612570
Hexadecimal	0x371578

Divisor Catalog (16)

1 2 4 8 47 94 188 376 9,601 19,202 38,404 76,808 451,247 902,494 1,804,988 3,609,976

Collatz Trajectory (89 steps to reach 1)

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

3,609,976 1,804,988 902,494 451,247 1,353,742 676,871 2,030,614 1,015,307 3,045,922 1,522,961 4,568,884 2,284,442 1,142,221 3,426,664 1,713,332 856,666 428,333 1,285,000 642,500 321,250 160,625 481,876 240,938 120,469 361,408 180,704 90,352 45,176 22,588 11,294 5,647 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820

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