λ
Sequence Observatory

1,456,746

2 × 3 × 97 × 2503
Abundant Even Composite

Starting at 1,456,746, the Collatz iteration reaches 1 after 181 steps. The first transition is 728373; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 97 × 2503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,944,704
Proper Divisor Sum 1,487,958
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1456739 ← → #1456759

Radix Representation

Decimal 1456746
Binary 101100011101001101010 (21 bits)
Octal 0o5435152
Hexadecimal 0x163A6A

Divisor Catalog (16)

1 2 3 6 97 194 291 582 2,503 5,006 7,509 15,018 242,791 485,582 728,373 1,456,746

Collatz Trajectory (181 steps to reach 1)

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

1,456,746 728,373 2,185,120 1,092,560 546,280 273,140 136,570 68,285 204,856 102,428 51,214 25,607 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257

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