λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,296,264

7,296,264

23 × 33 × 17 × 1987
Abundant Even Composite

7,296,264 factors as 2^3 × 3^3 × 17 × 1987. Its 64 positive divisors give a proper-divisor sum of 14,174,136, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 17 × 1987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,470,400
Proper Divisor Sum 14,174,136
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7296259 ← → #7296293

Radix Representation

Decimal 7296264
Binary 11011110101010100001000 (23 bits)
Octal 0o33652410
Hexadecimal 0x6F5508

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1,224 1,836 1,987 3,672 3,974 5,961 7,948 11,922 15,896 17,883 23,844 33,779 35,766 47,688 53,649 67,558 71,532 101,337 107,298 135,116 143,064 202,674 214,596 270,232 304,011 405,348 429,192 608,022 810,696 912,033 1,216,044

Collatz Trajectory (59 steps to reach 1)

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

7,296,264 3,648,132 1,824,066 912,033 2,736,100 1,368,050 684,025 2,052,076 1,026,038 513,019 1,539,058 769,529 2,308,588 1,154,294 577,147 1,731,442 865,721 2,597,164 1,298,582 649,291 1,947,874 973,937 2,921,812 1,460,906 730,453 2,191,360 1,095,680 547,840 273,920 136,960 68,480 34,240 17,120 8,560 4,280 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,296,263 Browse Full Index Next Integer #7,296,265 →