40,984,684

2² × 13 × 788167

40,984,684 factors as 2^2 × 13 × 788167. Its 12 positive divisors give a proper-divisor sum of 36,255,780, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 788167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 77,240,464

Proper Divisor Sum 36,255,780

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #40984673 ← → #40984703

Radix Representation

Decimal	40984684
Binary	10011100010110000001101100 (26 bits)
Octal	0o234260154
Hexadecimal	0x271606C

Divisor Catalog (12)

1 2 4 13 26 52 788,167 1,576,334 3,152,668 10,246,171 20,492,342 40,984,684

Collatz Trajectory (103 steps to reach 1)

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

40,984,684 20,492,342 10,246,171 30,738,514 15,369,257 46,107,772 23,053,886 11,526,943 34,580,830 17,290,415 51,871,246 25,935,623 77,806,870 38,903,435 116,710,306 58,355,153 175,065,460 87,532,730 43,766,365 131,299,096 65,649,548 32,824,774 16,412,387 49,237,162 24,618,581 73,855,744 36,927,872 18,463,936 9,231,968 4,615,984 2,307,992 1,153,996 576,998 288,499 865,498 432,749 1,298,248 649,124 324,562 162,281 486,844 243,422 121,711 365,134 182,567 547,702 273,851 821,554 410,777 1,232,332 616,166 308,083 924,250 462,125 1,386,376 693,188 346,594 173,297 519,892 259,946

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