11,637,477

3² × 43 × 30071

11,637,477 factors as 3^2 × 43 × 30071. Its 12 positive divisors give a proper-divisor sum of 5,563,707, so this integer is deficient. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 3^2 × 43 × 30071

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,201,184

Proper Divisor Sum 5,563,707

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #11637467 ← → #11637491

Radix Representation

Decimal	11637477
Binary	101100011001001011100101 (24 bits)
Octal	0o54311345
Hexadecimal	0xB192E5

Divisor Catalog (12)

1 3 9 43 129 387 30,071 90,213 270,639 1,293,053 3,879,159 11,637,477

Collatz Trajectory (277 steps to reach 1)

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

11,637,477 34,912,432 17,456,216 8,728,108 4,364,054 2,182,027 6,546,082 3,273,041 9,819,124 4,909,562 2,454,781 7,364,344 3,682,172 1,841,086 920,543 2,761,630 1,380,815 4,142,446 2,071,223 6,213,670 3,106,835 9,320,506 4,660,253 13,980,760 6,990,380 3,495,190 1,747,595 5,242,786 2,621,393 7,864,180 3,932,090 1,966,045 5,898,136 2,949,068 1,474,534 737,267 2,211,802 1,105,901 3,317,704 1,658,852 829,426 414,713 1,244,140 622,070 311,035 933,106 466,553 1,399,660 699,830 349,915 1,049,746 524,873 1,574,620 787,310 393,655 1,180,966 590,483 1,771,450 885,725 2,657,176

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #11,637,476 Browse Full Index Next Integer #11,637,478 →