40,200,093

3² × 37 × 120721

40,200,093 factors as 3^2 × 37 × 120721. Its 12 positive divisors give a proper-divisor sum of 19,436,575, so this integer is deficient. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 3^2 × 37 × 120721

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 59,636,668

Proper Divisor Sum 19,436,575

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #40200091 ← → #40200103

Radix Representation

Decimal	40200093
Binary	10011001010110011110011101 (26 bits)
Octal	0o231263635
Hexadecimal	0x265679D

Divisor Catalog (12)

1 3 9 37 111 333 120,721 362,163 1,086,489 4,466,677 13,400,031 40,200,093

Collatz Trajectory (284 steps to reach 1)

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

40,200,093 120,600,280 60,300,140 30,150,070 15,075,035 45,225,106 22,612,553 67,837,660 33,918,830 16,959,415 50,878,246 25,439,123 76,317,370 38,158,685 114,476,056 57,238,028 28,619,014 14,309,507 42,928,522 21,464,261 64,392,784 32,196,392 16,098,196 8,049,098 4,024,549 12,073,648 6,036,824 3,018,412 1,509,206 754,603 2,263,810 1,131,905 3,395,716 1,697,858 848,929 2,546,788 1,273,394 636,697 1,910,092 955,046 477,523 1,432,570 716,285 2,148,856 1,074,428 537,214 268,607 805,822 402,911 1,208,734 604,367 1,813,102 906,551 2,719,654 1,359,827 4,079,482 2,039,741 6,119,224 3,059,612 1,529,806

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