2,164,088

2³ × 157 × 1723

Starting at 2,164,088, the Collatz iteration reaches 1 after 228 steps. The first transition is 1082044; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 157 × 1723

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,085,880

Proper Divisor Sum 1,921,792

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2164073 ← → #2164111

Radix Representation

Decimal	2164088
Binary	1000010000010101111000 (22 bits)
Octal	0o10202570
Hexadecimal	0x210578

Divisor Catalog (16)

1 2 4 8 157 314 628 1,256 1,723 3,446 6,892 13,784 270,511 541,022 1,082,044 2,164,088

Collatz Trajectory (228 steps to reach 1)

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

2,164,088 1,082,044 541,022 270,511 811,534 405,767 1,217,302 608,651 1,825,954 912,977 2,738,932 1,369,466 684,733 2,054,200 1,027,100 513,550 256,775 770,326 385,163 1,155,490 577,745 1,733,236 866,618 433,309 1,299,928 649,964 324,982 162,491 487,474 243,737 731,212 365,606 182,803 548,410 274,205 822,616 411,308 205,654 102,827 308,482 154,241 462,724 231,362 115,681 347,044 173,522 86,761 260,284 130,142 65,071 195,214 97,607 292,822 146,411 439,234 219,617 658,852 329,426 164,713 494,140

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