36,967,623

3 × 7 × 11 × 160033

36,967,623 factors as 3 × 7 × 11 × 160033. Its 16 positive divisors give a proper-divisor sum of 24,485,433, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 160033

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 61,453,056

Proper Divisor Sum 24,485,433

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #36967607 ← → #36967643

Radix Representation

Decimal	36967623
Binary	10001101000001010011000111 (26 bits)
Octal	0o215012307
Hexadecimal	0x23414C7

Divisor Catalog (16)

1 3 7 11 21 33 77 231 160,033 480,099 1,120,231 1,760,363 3,360,693 5,281,089 12,322,541 36,967,623

Collatz Trajectory (240 steps to reach 1)

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

36,967,623 110,902,870 55,451,435 166,354,306 83,177,153 249,531,460 124,765,730 62,382,865 187,148,596 93,574,298 46,787,149 140,361,448 70,180,724 35,090,362 17,545,181 52,635,544 26,317,772 13,158,886 6,579,443 19,738,330 9,869,165 29,607,496 14,803,748 7,401,874 3,700,937 11,102,812 5,551,406 2,775,703 8,327,110 4,163,555 12,490,666 6,245,333 18,736,000 9,368,000 4,684,000 2,342,000 1,171,000 585,500 292,750 146,375 439,126 219,563 658,690 329,345 988,036 494,018 247,009 741,028 370,514 185,257 555,772 277,886 138,943 416,830 208,415 625,246 312,623 937,870 468,935 1,406,806

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