7,709,424

2⁴ × 3 × 61 × 2633

7,709,424 has the prime decomposition 2^4 × 3 × 61 × 2633. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 61 × 2633

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 20,250,192

Proper Divisor Sum 12,540,768

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7709419 ← → #7709441

Radix Representation

Decimal	7709424
Binary	11101011010001011110000 (23 bits)
Octal	0o35321360
Hexadecimal	0x75A2F0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1,464 2,633 2,928 5,266 7,899 10,532 15,798 21,064 31,596 42,128 63,192 126,384 160,613 321,226 481,839 642,452 963,678 1,284,904 1,927,356 2,569,808 3,854,712 7,709,424

Collatz Trajectory (160 steps to reach 1)

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

7,709,424 3,854,712 1,927,356 963,678 481,839 1,445,518 722,759 2,168,278 1,084,139 3,252,418 1,626,209 4,878,628 2,439,314 1,219,657 3,658,972 1,829,486 914,743 2,744,230 1,372,115 4,116,346 2,058,173 6,174,520 3,087,260 1,543,630 771,815 2,315,446 1,157,723 3,473,170 1,736,585 5,209,756 2,604,878 1,302,439 3,907,318 1,953,659 5,860,978 2,930,489 8,791,468 4,395,734 2,197,867 6,593,602 3,296,801 9,890,404 4,945,202 2,472,601 7,417,804 3,708,902 1,854,451 5,563,354 2,781,677 8,345,032 4,172,516 2,086,258 1,043,129 3,129,388 1,564,694 782,347 2,347,042 1,173,521 3,520,564 1,760,282

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