9,302,072

2³ × 13 × 89443

9,302,072 factors as 2^3 × 13 × 89443. Its 16 positive divisors give a proper-divisor sum of 9,481,168, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 89443

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,783,240

Proper Divisor Sum 9,481,168

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #9302071 ← → #9302081

Radix Representation

Decimal	9302072
Binary	100011011111000000111000 (24 bits)
Octal	0o43370070
Hexadecimal	0x8DF038

Divisor Catalog (16)

1 2 4 8 13 26 52 104 89,443 178,886 357,772 715,544 1,162,759 2,325,518 4,651,036 9,302,072

Collatz Trajectory (163 steps to reach 1)

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

9,302,072 4,651,036 2,325,518 1,162,759 3,488,278 1,744,139 5,232,418 2,616,209 7,848,628 3,924,314 1,962,157 5,886,472 2,943,236 1,471,618 735,809 2,207,428 1,103,714 551,857 1,655,572 827,786 413,893 1,241,680 620,840 310,420 155,210 77,605 232,816 116,408 58,204 29,102 14,551 43,654 21,827 65,482 32,741 98,224 49,112 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,302,071 Browse Full Index Next Integer #9,302,073 →