7,370,640

2⁴ × 3² × 5 × 29 × 353

7,370,640 has digital root 9. The neighboring primes are 7370633 and 7370641; its proper-divisor sum differs from the starting integer by 10,937,880.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 29 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 25,679,160

Proper Divisor Sum 18,308,520

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7370633 ← → #7370641

Radix Representation

Decimal	7370640
Binary	11100000111011110010000 (23 bits)
Octal	0o34073620
Hexadecimal	0x707790

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 353 360 435 464 522 580 696 706 720 870 1,044 1,059 1,160 1,305 1,392 1,412 1,740 1,765 2,088 2,118 2,320 2,610

Collatz Trajectory (129 steps to reach 1)

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

7,370,640 3,685,320 1,842,660 921,330 460,665 1,381,996 690,998 345,499 1,036,498 518,249 1,554,748 777,374 388,687 1,166,062 583,031 1,749,094 874,547 2,623,642 1,311,821 3,935,464 1,967,732 983,866 491,933 1,475,800 737,900 368,950 184,475 553,426 276,713 830,140 415,070 207,535 622,606 311,303 933,910 466,955 1,400,866 700,433 2,101,300 1,050,650 525,325 1,575,976 787,988 393,994 196,997 590,992 295,496 147,748 73,874 36,937 110,812 55,406 27,703 83,110 41,555 124,666 62,333 187,000 93,500 46,750

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