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Atlas › Integer Profiles › Node 7,329,015

7,329,015

33 × 5 × 2332
Deficient Odd Composite

7,329,015 factors as 3^3 × 5 × 233^2. Its 24 positive divisors give a proper-divisor sum of 5,756,505, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 233^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,085,520
Proper Divisor Sum 5,756,505
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7329013 ← → #7329031

Radix Representation

Decimal 7329015
Binary 11011111101010011110111 (23 bits)
Octal 0o33752367
Hexadecimal 0x6FD4F7

Divisor Catalog (24)

1 3 5 9 15 27 45 135 233 699 1,165 2,097 3,495 6,291 10,485 31,455 54,289 162,867 271,445 488,601 814,335 1,465,803 2,443,005 7,329,015

Collatz Trajectory (173 steps to reach 1)

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

7,329,015 21,987,046 10,993,523 32,980,570 16,490,285 49,470,856 24,735,428 12,367,714 6,183,857 18,551,572 9,275,786 4,637,893 13,913,680 6,956,840 3,478,420 1,739,210 869,605 2,608,816 1,304,408 652,204 326,102 163,051 489,154 244,577 733,732 366,866 183,433 550,300 275,150 137,575 412,726 206,363 619,090 309,545 928,636 464,318 232,159 696,478 348,239 1,044,718 522,359 1,567,078 783,539 2,350,618 1,175,309 3,525,928 1,762,964 881,482 440,741 1,322,224 661,112 330,556 165,278 82,639 247,918 123,959 371,878 185,939 557,818 278,909

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