7,369,232

2⁴ × 13 × 71 × 499

7,369,232 has the prime decomposition 2^4 × 13 × 71 × 499. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 71 × 499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 15,624,000

Proper Divisor Sum 8,254,768

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7369231 ← → #7369237

Radix Representation

Decimal	7369232
Binary	11100000111001000010000 (23 bits)
Octal	0o34071020
Hexadecimal	0x707210

Divisor Catalog (40)

1 2 4 8 13 16 26 52 71 104 142 208 284 499 568 923 998 1,136 1,846 1,996 3,692 3,992 6,487 7,384 7,984 12,974 14,768 25,948 35,429 51,896 70,858 103,792 141,716 283,432 460,577 566,864 921,154 1,842,308 3,684,616 7,369,232

Collatz Trajectory (111 steps to reach 1)

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

7,369,232 3,684,616 1,842,308 921,154 460,577 1,381,732 690,866 345,433 1,036,300 518,150 259,075 777,226 388,613 1,165,840 582,920 291,460 145,730 72,865 218,596 109,298 54,649 163,948 81,974 40,987 122,962 61,481 184,444 92,222 46,111 138,334 69,167 207,502 103,751 311,254 155,627 466,882 233,441 700,324 350,162 175,081 525,244 262,622 131,311 393,934 196,967 590,902 295,451 886,354 443,177 1,329,532 664,766 332,383 997,150 498,575 1,495,726 747,863 2,243,590 1,121,795 3,365,386 1,682,693

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