7,461,502

2 × 503 × 7417

Starting at 7,461,502, the Collatz iteration reaches 1 after 111 steps. The first transition is 3730751; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 503 × 7417

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,216,016

Proper Divisor Sum 3,754,514

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #7461491 ← → #7461527

Radix Representation

Decimal	7461502
Binary	11100011101101001111110 (23 bits)
Octal	0o34355176
Hexadecimal	0x71DA7E

Divisor Catalog (8)

1 2 503 1,006 7,417 14,834 3,730,751 7,461,502

Collatz Trajectory (111 steps to reach 1)

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

7,461,502 3,730,751 11,192,254 5,596,127 16,788,382 8,394,191 25,182,574 12,591,287 37,773,862 18,886,931 56,660,794 28,330,397 84,991,192 42,495,596 21,247,798 10,623,899 31,871,698 15,935,849 47,807,548 23,903,774 11,951,887 35,855,662 17,927,831 53,783,494 26,891,747 80,675,242 40,337,621 121,012,864 60,506,432 30,253,216 15,126,608 7,563,304 3,781,652 1,890,826 945,413 2,836,240 1,418,120 709,060 354,530 177,265 531,796 265,898 132,949 398,848 199,424 99,712 49,856 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316

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