583,878

2 × 3 × 23 × 4231

Starting at 583,878, the Collatz iteration reaches 1 after 221 steps. The first transition is 291939; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 4231

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,218,816

Proper Divisor Sum 634,938

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #583873 ← → #583879

Radix Representation

Decimal	583878
Binary	10001110100011000110 (20 bits)
Octal	0o2164306
Hexadecimal	0x8E8C6

Divisor Catalog (16)

1 2 3 6 23 46 69 138 4,231 8,462 12,693 25,386 97,313 194,626 291,939 583,878

Collatz Trajectory (221 steps to reach 1)

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

583,878 291,939 875,818 437,909 1,313,728 656,864 328,432 164,216 82,108 41,054 20,527 61,582 30,791 92,374 46,187 138,562 69,281 207,844 103,922 51,961 155,884 77,942 38,971 116,914 58,457 175,372 87,686 43,843 131,530 65,765 197,296 98,648 49,324 24,662 12,331 36,994 18,497 55,492 27,746 13,873 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234

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