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Atlas › Integer Profiles › Node 3,695,992

3,695,992

23 × 29 × 89 × 179
Deficient Even Composite

3,695,992 factors as 2^3 × 29 × 89 × 179. Its 32 positive divisors give a proper-divisor sum of 3,594,008, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 89 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,290,000
Proper Divisor Sum 3,594,008
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3695983 ← → #3696001

Radix Representation

Decimal 3695992
Binary 1110000110010101111000 (22 bits)
Octal 0o16062570
Hexadecimal 0x386578

Divisor Catalog (32)

1 2 4 8 29 58 89 116 178 179 232 356 358 712 716 1,432 2,581 5,162 5,191 10,324 10,382 15,931 20,648 20,764 31,862 41,528 63,724 127,448 461,999 923,998 1,847,996 3,695,992

Collatz Trajectory (159 steps to reach 1)

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

3,695,992 1,847,996 923,998 461,999 1,385,998 692,999 2,078,998 1,039,499 3,118,498 1,559,249 4,677,748 2,338,874 1,169,437 3,508,312 1,754,156 877,078 438,539 1,315,618 657,809 1,973,428 986,714 493,357 1,480,072 740,036 370,018 185,009 555,028 277,514 138,757 416,272 208,136 104,068 52,034 26,017 78,052 39,026 19,513 58,540 29,270 14,635 43,906 21,953 65,860 32,930 16,465 49,396 24,698 12,349 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908

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