7,404,624

2⁴ × 3² × 51421

Starting at 7,404,624, the Collatz iteration reaches 1 after 80 steps. The first transition is 3702312; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 51421

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 20,723,066

Proper Divisor Sum 13,318,442

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7404611 ← → #7404637

Radix Representation

Decimal	7404624
Binary	11100001111110001010000 (23 bits)
Octal	0o34176120
Hexadecimal	0x70FC50

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 51,421 102,842 154,263 205,684 308,526 411,368 462,789 617,052 822,736 925,578 1,234,104 1,851,156 2,468,208 3,702,312 7,404,624

Collatz Trajectory (80 steps to reach 1)

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

7,404,624 3,702,312 1,851,156 925,578 462,789 1,388,368 694,184 347,092 173,546 86,773 260,320 130,160 65,080 32,540 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 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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