λ
Sequence Observatory

4,585,967

4585967
Deficient Odd Prime

Starting at 4,585,967, the Collatz iteration reaches 1 after 317 steps. The first transition is 13757902; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4585967
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,585,968
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4585943 ← → #4585969

Radix Representation

Decimal 4585967
Binary 10001011111100111101111 (23 bits)
Octal 0o21374757
Hexadecimal 0x45F9EF

Divisor Catalog (2)

Collatz Trajectory (317 steps to reach 1)

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

4,585,967 13,757,902 6,878,951 20,636,854 10,318,427 30,955,282 15,477,641 46,432,924 23,216,462 11,608,231 34,824,694 17,412,347 52,237,042 26,118,521 78,355,564 39,177,782 19,588,891 58,766,674 29,383,337 88,150,012 44,075,006 22,037,503 66,112,510 33,056,255 99,168,766 49,584,383 148,753,150 74,376,575 223,129,726 111,564,863 334,694,590 167,347,295 502,041,886 251,020,943 753,062,830 376,531,415 1,129,594,246 564,797,123 1,694,391,370 847,195,685 2,541,587,056 1,270,793,528 635,396,764 317,698,382 158,849,191 476,547,574 238,273,787 714,821,362 357,410,681 1,072,232,044 536,116,022 268,058,011 804,174,034 402,087,017 1,206,261,052 603,130,526 301,565,263 904,695,790 452,347,895 1,357,043,686

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