λ
Sequence Observatory

5,684,861

7 × 13 × 179 × 349
Deficient Odd Composite

Starting at 5,684,861, the Collatz iteration reaches 1 after 263 steps. The first transition is 17054584; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 179 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,056,000
Proper Divisor Sum 1,371,139
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5684849 ← → #5684863

Radix Representation

Decimal 5684861
Binary 10101101011111001111101 (23 bits)
Octal 0o25537175
Hexadecimal 0x56BE7D

Divisor Catalog (16)

1 7 13 91 179 349 1,253 2,327 2,443 4,537 16,289 31,759 62,471 437,297 812,123 5,684,861

Collatz Trajectory (263 steps to reach 1)

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

5,684,861 17,054,584 8,527,292 4,263,646 2,131,823 6,395,470 3,197,735 9,593,206 4,796,603 14,389,810 7,194,905 21,584,716 10,792,358 5,396,179 16,188,538 8,094,269 24,282,808 12,141,404 6,070,702 3,035,351 9,106,054 4,553,027 13,659,082 6,829,541 20,488,624 10,244,312 5,122,156 2,561,078 1,280,539 3,841,618 1,920,809 5,762,428 2,881,214 1,440,607 4,321,822 2,160,911 6,482,734 3,241,367 9,724,102 4,862,051 14,586,154 7,293,077 21,879,232 10,939,616 5,469,808 2,734,904 1,367,452 683,726 341,863 1,025,590 512,795 1,538,386 769,193 2,307,580 1,153,790 576,895 1,730,686 865,343 2,596,030 1,298,015

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