λ
Sequence Observatory

8,703,682

2 × 13 × 557 × 601
Deficient Even Composite

Starting at 8,703,682, the Collatz iteration reaches 1 after 124 steps. The first transition is 4351841; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 557 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,108,472
Proper Divisor Sum 5,404,790
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8703661 ← → #8703719

Radix Representation

Decimal 8703682
Binary 100001001100111011000010 (24 bits)
Octal 0o41147302
Hexadecimal 0x84CEC2

Divisor Catalog (16)

1 2 13 26 557 601 1,114 1,202 7,241 7,813 14,482 15,626 334,757 669,514 4,351,841 8,703,682

Collatz Trajectory (124 steps to reach 1)

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

8,703,682 4,351,841 13,055,524 6,527,762 3,263,881 9,791,644 4,895,822 2,447,911 7,343,734 3,671,867 11,015,602 5,507,801 16,523,404 8,261,702 4,130,851 12,392,554 6,196,277 18,588,832 9,294,416 4,647,208 2,323,604 1,161,802 580,901 1,742,704 871,352 435,676 217,838 108,919 326,758 163,379 490,138 245,069 735,208 367,604 183,802 91,901 275,704 137,852 68,926 34,463 103,390 51,695 155,086 77,543 232,630 116,315 348,946 174,473 523,420 261,710 130,855 392,566 196,283 588,850 294,425 883,276 441,638 220,819 662,458 331,229

More profiles

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