7,372,530

2 × 3² × 5 × 11² × 677

7,372,530 has digital root 9. The neighboring primes are 7372523 and 7372553; its proper-divisor sum differs from the starting integer by 6,355,656.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11^2 × 677

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 21,100,716

Proper Divisor Sum 13,728,186

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7372523 ← → #7372553

Radix Representation

Decimal	7372530
Binary	11100000111111011110010 (23 bits)
Octal	0o34077362
Hexadecimal	0x707EF2

Divisor Catalog (60 of 72)

1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 677 726 990 1,089 1,210 1,354 1,815 2,031 2,178 3,385 3,630 4,062 5,445 6,093 6,770 7,447 10,155 10,890 12,186 14,894 20,310 22,341 30,465 37,235 44,682 60,930 67,023 74,470 81,917 111,705 134,046 163,834 223,410

Collatz Trajectory (85 steps to reach 1)

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

7,372,530 3,686,265 11,058,796 5,529,398 2,764,699 8,294,098 4,147,049 12,441,148 6,220,574 3,110,287 9,330,862 4,665,431 13,996,294 6,998,147 20,994,442 10,497,221 31,491,664 15,745,832 7,872,916 3,936,458 1,968,229 5,904,688 2,952,344 1,476,172 738,086 369,043 1,107,130 553,565 1,660,696 830,348 415,174 207,587 622,762 311,381 934,144 467,072 233,536 116,768 58,384 29,192 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217

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