2,286,015

3 × 5 × 257 × 593

Starting at 2,286,015, the Collatz iteration reaches 1 after 86 steps. The first transition is 6858046; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 257 × 593

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,678,048

Proper Divisor Sum 1,392,033

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2286013 ← → #2286017

Radix Representation

Decimal	2286015
Binary	1000101110000110111111 (22 bits)
Octal	0o10560677
Hexadecimal	0x22E1BF

Divisor Catalog (16)

1 3 5 15 257 593 771 1,285 1,779 2,965 3,855 8,895 152,401 457,203 762,005 2,286,015

Collatz Trajectory (86 steps to reach 1)

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

2,286,015 6,858,046 3,429,023 10,287,070 5,143,535 15,430,606 7,715,303 23,145,910 11,572,955 34,718,866 17,359,433 52,078,300 26,039,150 13,019,575 39,058,726 19,529,363 58,588,090 29,294,045 87,882,136 43,941,068 21,970,534 10,985,267 32,955,802 16,477,901 49,433,704 24,716,852 12,358,426 6,179,213 18,537,640 9,268,820 4,634,410 2,317,205 6,951,616 3,475,808 1,737,904 868,952 434,476 217,238 108,619 325,858 162,929 488,788 244,394 122,197 366,592 183,296 91,648 45,824 22,912 11,456 5,728 2,864 1,432 716 358 179 538 269 808 404

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