λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,352,448

9,352,448

28 × 7 × 17 × 307
Abundant Even Composite

9,352,448 factors as 2^8 × 7 × 17 × 307. Its 72 positive divisors give a proper-divisor sum of 13,311,424, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^8 × 7 × 17 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 22,663,872
Proper Divisor Sum 13,311,424
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9352429 ← → #9352493

Radix Representation

Decimal 9352448
Binary 100011101011010100000000 (24 bits)
Octal 0o43532400
Hexadecimal 0x8EB500

Divisor Catalog (60 of 72)

1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 307 448 476 544 614 896 952 1,088 1,228 1,792 1,904 2,149 2,176 2,456 3,808 4,298 4,352 4,912 5,219 7,616 8,596 9,824 10,438 15,232 17,192 19,648 20,876 30,464 34,384 36,533 39,296 41,752 68,768 73,066 78,592 83,504 137,536 146,132

Collatz Trajectory (70 steps to reach 1)

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

9,352,448 4,676,224 2,338,112 1,169,056 584,528 292,264 146,132 73,066 36,533 109,600 54,800 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #9,352,447 Browse Full Index Next Integer #9,352,449 →