3,608,017

7³ × 67 × 157

3,608,017 factors as 7^3 × 67 × 157. Its 16 positive divisors give a proper-divisor sum of 689,583, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 7^3 × 67 × 157

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,297,600

Proper Divisor Sum 689,583

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3607999 ← → #3608039

Radix Representation

Decimal	3608017
Binary	1101110000110111010001 (22 bits)
Octal	0o15606721
Hexadecimal	0x370DD1

Divisor Catalog (16)

1 7 49 67 157 343 469 1,099 3,283 7,693 10,519 22,981 53,851 73,633 515,431 3,608,017

Collatz Trajectory (234 steps to reach 1)

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

3,608,017 10,824,052 5,412,026 2,706,013 8,118,040 4,059,020 2,029,510 1,014,755 3,044,266 1,522,133 4,566,400 2,283,200 1,141,600 570,800 285,400 142,700 71,350 35,675 107,026 53,513 160,540 80,270 40,135 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815

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