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Atlas › Integer Profiles › Node 36,933,390

36,933,390

2 × 32 × 5 × 13 × 31567
Abundant Even Composite

36,933,390 factors as 2 × 3^2 × 5 × 13 × 31567. Its 48 positive divisors give a proper-divisor sum of 66,483,378, so this integer is abundant. The Collatz stopping time is 377 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 31567
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 103,416,768
Proper Divisor Sum 66,483,378
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36933383 ← → #36933409

Radix Representation

Decimal 36933390
Binary 10001100111000111100001110 (26 bits)
Octal 0o214707416
Hexadecimal 0x2338F0E

Divisor Catalog (48)

1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1,170 31,567 63,134 94,701 157,835 189,402 284,103 315,670 410,371 473,505 568,206 820,742 947,010 1,231,113 1,420,515 2,051,855 2,462,226 2,841,030 3,693,339 4,103,710 6,155,565 7,386,678 12,311,130 18,466,695 36,933,390

Collatz Trajectory (377 steps to reach 1)

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

36,933,390 18,466,695 55,400,086 27,700,043 83,100,130 41,550,065 124,650,196 62,325,098 31,162,549 93,487,648 46,743,824 23,371,912 11,685,956 5,842,978 2,921,489 8,764,468 4,382,234 2,191,117 6,573,352 3,286,676 1,643,338 821,669 2,465,008 1,232,504 616,252 308,126 154,063 462,190 231,095 693,286 346,643 1,039,930 519,965 1,559,896 779,948 389,974 194,987 584,962 292,481 877,444 438,722 219,361 658,084 329,042 164,521 493,564 246,782 123,391 370,174 185,087 555,262 277,631 832,894 416,447 1,249,342 624,671 1,874,014 937,007 2,811,022 1,405,511

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