7,416,021

3 × 37 × 71 × 941

Starting at 7,416,021, the Collatz iteration reaches 1 after 111 steps. The first transition is 22248064; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 71 × 941

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,309,248

Proper Divisor Sum 2,893,227

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7416007 ← → #7416043

Radix Representation

Decimal	7416021
Binary	11100010010100011010101 (23 bits)
Octal	0o34224325
Hexadecimal	0x7128D5

Divisor Catalog (16)

1 3 37 71 111 213 941 2,627 2,823 7,881 34,817 66,811 104,451 200,433 2,472,007 7,416,021

Collatz Trajectory (111 steps to reach 1)

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

7,416,021 22,248,064 11,124,032 5,562,016 2,781,008 1,390,504 695,252 347,626 173,813 521,440 260,720 130,360 65,180 32,590 16,295 48,886 24,443 73,330 36,665 109,996 54,998 27,499 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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