7,207,488

2⁶ × 3³ × 43 × 97

7,207,488 factors as 2^6 × 3^3 × 43 × 97. Its 112 positive divisors give a proper-divisor sum of 14,697,472, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 43 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 21,904,960

Proper Divisor Sum 14,697,472

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7207481 ← → #7207493

Radix Representation

Decimal	7207488
Binary	11011011111101001000000 (23 bits)
Octal	0o33375100
Hexadecimal	0x6DFA40

Divisor Catalog (60 of 112)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 97 108 129 144 172 192 194 216 258 288 291 344 387 388 432 516 576 582 688 774 776 864 873 1,032 1,161 1,164 1,376 1,548 1,552 1,728 1,746 2,064 2,322 2,328 2,619 2,752 3,096 3,104 3,492

Collatz Trajectory (235 steps to reach 1)

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

7,207,488 3,603,744 1,801,872 900,936 450,468 225,234 112,617 337,852 168,926 84,463 253,390 126,695 380,086 190,043 570,130 285,065 855,196 427,598 213,799 641,398 320,699 962,098 481,049 1,443,148 721,574 360,787 1,082,362 541,181 1,623,544 811,772 405,886 202,943 608,830 304,415 913,246 456,623 1,369,870 684,935 2,054,806 1,027,403 3,082,210 1,541,105 4,623,316 2,311,658 1,155,829 3,467,488 1,733,744 866,872 433,436 216,718 108,359 325,078 162,539 487,618 243,809 731,428 365,714 182,857 548,572 274,286

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,207,487 Browse Full Index Next Integer #7,207,489 →