7,484,820

2² × 3 × 5 × 7 × 71 × 251

Starting at 7,484,820, the Collatz iteration reaches 1 after 54 steps. The first transition is 3742410; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 71 × 251

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,385,536

Proper Divisor Sum 16,900,716

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7484809 ← → #7484833

Radix Representation

Decimal	7484820
Binary	11100100011010110010100 (23 bits)
Octal	0o34432624
Hexadecimal	0x723594

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 251 284 355 420 426 497 502 710 753 852 994 1,004 1,065 1,255 1,420 1,491 1,506 1,757 1,988 2,130 2,485 2,510 2,982 3,012 3,514 3,765 4,260 4,970 5,020 5,271 5,964 7,028 7,455 7,530

Collatz Trajectory (54 steps to reach 1)

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

7,484,820 3,742,410 1,871,205 5,613,616 2,806,808 1,403,404 701,702 350,851 1,052,554 526,277 1,578,832 789,416 394,708 197,354 98,677 296,032 148,016 74,008 37,004 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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