4,202,450

2 × 5² × 7 × 12007

4,202,450 factors as 2 × 5^2 × 7 × 12007. Its 24 positive divisors give a proper-divisor sum of 4,731,502, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 12007

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,933,952

Proper Divisor Sum 4,731,502

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4202449 ← → #4202461

Radix Representation

Decimal	4202450
Binary	10000000001111111010010 (23 bits)
Octal	0o20017722
Hexadecimal	0x401FD2

Divisor Catalog (24)

Collatz Trajectory (154 steps to reach 1)

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

4,202,450 2,101,225 6,303,676 3,151,838 1,575,919 4,727,758 2,363,879 7,091,638 3,545,819 10,637,458 5,318,729 15,956,188 7,978,094 3,989,047 11,967,142 5,983,571 17,950,714 8,975,357 26,926,072 13,463,036 6,731,518 3,365,759 10,097,278 5,048,639 15,145,918 7,572,959 22,718,878 11,359,439 34,078,318 17,039,159 51,117,478 25,558,739 76,676,218 38,338,109 115,014,328 57,507,164 28,753,582 14,376,791 43,130,374 21,565,187 64,695,562 32,347,781 97,043,344 48,521,672 24,260,836 12,130,418 6,065,209 18,195,628 9,097,814 4,548,907 13,646,722 6,823,361 20,470,084 10,235,042 5,117,521 15,352,564 7,676,282 3,838,141 11,514,424 5,757,212

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