7,416,224

2⁵ × 47 × 4931

Starting at 7,416,224, the Collatz iteration reaches 1 after 111 steps. The first transition is 3708112; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 47 × 4931

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,914,368

Proper Divisor Sum 7,498,144

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7416193 ← → #7416229

Radix Representation

Decimal	7416224
Binary	11100010010100110100000 (23 bits)
Octal	0o34224640
Hexadecimal	0x7129A0

Divisor Catalog (24)

1 2 4 8 16 32 47 94 188 376 752 1,504 4,931 9,862 19,724 39,448 78,896 157,792 231,757 463,514 927,028 1,854,056 3,708,112 7,416,224

Collatz Trajectory (111 steps to reach 1)

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

7,416,224 3,708,112 1,854,056 927,028 463,514 231,757 695,272 347,636 173,818 86,909 260,728 130,364 65,182 32,591 97,774 48,887 146,662 73,331 219,994 109,997 329,992 164,996 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843

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