1,307,574

2 × 3² × 72643

Starting at 1,307,574, the Collatz iteration reaches 1 after 98 steps. The first transition is 653787; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 72643

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,833,116

Proper Divisor Sum 1,525,542

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1307557 ← → #1307591

Radix Representation

Decimal	1307574
Binary	100111111001110110110 (21 bits)
Octal	0o4771666
Hexadecimal	0x13F3B6

Divisor Catalog (12)

1 2 3 6 9 18 72,643 145,286 217,929 435,858 653,787 1,307,574

Collatz Trajectory (98 steps to reach 1)

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

1,307,574 653,787 1,961,362 980,681 2,942,044 1,471,022 735,511 2,206,534 1,103,267 3,309,802 1,654,901 4,964,704 2,482,352 1,241,176 620,588 310,294 155,147 465,442 232,721 698,164 349,082 174,541 523,624 261,812 130,906 65,453 196,360 98,180 49,090 24,545 73,636 36,818 18,409 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601 139,804 69,902 34,951 104,854 52,427 157,282 78,641 235,924 117,962 58,981 176,944 88,472 44,236 22,118 11,059 33,178 16,589 49,768

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