7,369,824

2⁵ × 3 × 7 × 11 × 997

7,369,824 is even and not a perfect square. Its factorization is 2^5 × 3 × 7 × 11 × 997 and its 96 divisors sum to 24,143,616.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 11 × 997

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,143,616

Proper Divisor Sum 16,773,792

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7369801 ← → #7369841

Radix Representation

Decimal	7369824
Binary	11100000111010001100000 (23 bits)
Octal	0o34072140
Hexadecimal	0x707460

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 997 1,056 1,232 1,848 1,994 2,464 2,991 3,696 3,988 5,982 6,979 7,392 7,976 10,967 11,964 13,958 15,952 20,937

Collatz Trajectory (80 steps to reach 1)

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

7,369,824 3,684,912 1,842,456 921,228 460,614 230,307 690,922 345,461 1,036,384 518,192 259,096 129,548 64,774 32,387 97,162 48,581 145,744 72,872 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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