λ
Sequence Observatory

675,654

2 × 3 × 7 × 16087
Abundant Even Composite

Starting at 675,654, the Collatz iteration reaches 1 after 110 steps. The first transition is 337827; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 16087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,544,448
Proper Divisor Sum 868,794
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #675643 ← → #675713

Radix Representation

Decimal 675654
Binary 10100100111101000110 (20 bits)
Octal 0o2447506
Hexadecimal 0xA4F46

Divisor Catalog (16)

1 2 3 6 7 14 21 42 16,087 32,174 48,261 96,522 112,609 225,218 337,827 675,654

Collatz Trajectory (110 steps to reach 1)

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

675,654 337,827 1,013,482 506,741 1,520,224 760,112 380,056 190,028 95,014 47,507 142,522 71,261 213,784 106,892 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719

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