36,930,225

3 × 5² × 492403

36,930,225 factors as 3 × 5^2 × 492403. Its 12 positive divisors give a proper-divisor sum of 24,127,871, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 492403

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 61,058,096

Proper Divisor Sum 24,127,871

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #36930191 ← → #36930233

Radix Representation

Decimal	36930225
Binary	10001100111000001010110001 (26 bits)
Octal	0o214701261
Hexadecimal	0x23382B1

Divisor Catalog (12)

1 3 5 15 25 75 492,403 1,477,209 2,462,015 7,386,045 12,310,075 36,930,225

Collatz Trajectory (183 steps to reach 1)

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

36,930,225 110,790,676 55,395,338 27,697,669 83,093,008 41,546,504 20,773,252 10,386,626 5,193,313 15,579,940 7,789,970 3,894,985 11,684,956 5,842,478 2,921,239 8,763,718 4,381,859 13,145,578 6,572,789 19,718,368 9,859,184 4,929,592 2,464,796 1,232,398 616,199 1,848,598 924,299 2,772,898 1,386,449 4,159,348 2,079,674 1,039,837 3,119,512 1,559,756 779,878 389,939 1,169,818 584,909 1,754,728 877,364 438,682 219,341 658,024 329,012 164,506 82,253 246,760 123,380 61,690 30,845 92,536 46,268 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041

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