7,552,344

2³ × 3 × 31 × 10151

Starting at 7,552,344, the Collatz iteration reaches 1 after 204 steps. The first transition is 3776172; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 10151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,491,840

Proper Divisor Sum 11,939,496

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7552343 ← → #7552351

Radix Representation

Decimal	7552344
Binary	11100110011110101011000 (23 bits)
Octal	0o34636530
Hexadecimal	0x733D58

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 10,151 20,302 30,453 40,604 60,906 81,208 121,812 243,624 314,681 629,362 944,043 1,258,724 1,888,086 2,517,448 3,776,172 7,552,344

Collatz Trajectory (204 steps to reach 1)

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

7,552,344 3,776,172 1,888,086 944,043 2,832,130 1,416,065 4,248,196 2,124,098 1,062,049 3,186,148 1,593,074 796,537 2,389,612 1,194,806 597,403 1,792,210 896,105 2,688,316 1,344,158 672,079 2,016,238 1,008,119 3,024,358 1,512,179 4,536,538 2,268,269 6,804,808 3,402,404 1,701,202 850,601 2,551,804 1,275,902 637,951 1,913,854 956,927 2,870,782 1,435,391 4,306,174 2,153,087 6,459,262 3,229,631 9,688,894 4,844,447 14,533,342 7,266,671 21,800,014 10,900,007 32,700,022 16,350,011 49,050,034 24,525,017 73,575,052 36,787,526 18,393,763 55,181,290 27,590,645 82,771,936 41,385,968 20,692,984 10,346,492

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