λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,132,288

10,132,288

26 × 31 × 5107
Abundant Even Composite

10,132,288 factors as 2^6 × 31 × 5107. Its 28 positive divisors give a proper-divisor sum of 10,626,624, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^6 × 31 × 5107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 20,758,912
Proper Divisor Sum 10,626,624
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #10132279 ← → #10132321

Radix Representation

Decimal 10132288
Binary 100110101001101101000000 (24 bits)
Octal 0o46515500
Hexadecimal 0x9A9B40

Divisor Catalog (28)

1 2 4 8 16 31 32 62 64 124 248 496 992 1,984 5,107 10,214 20,428 40,856 81,712 158,317 163,424 316,634 326,848 633,268 1,266,536 2,533,072 5,066,144 10,132,288

Collatz Trajectory (83 steps to reach 1)

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

10,132,288 5,066,144 2,533,072 1,266,536 633,268 316,634 158,317 474,952 237,476 118,738 59,369 178,108 89,054 44,527 133,582 66,791 200,374 100,187 300,562 150,281 450,844 225,422 112,711 338,134 169,067 507,202 253,601 760,804 380,402 190,201 570,604 285,302 142,651 427,954 213,977 641,932 320,966 160,483 481,450 240,725 722,176 361,088 180,544 90,272 45,136 22,568 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #10,132,287 Browse Full Index Next Integer #10,132,289 →