2,772,282

2 × 3 × 23 × 20089

Starting at 2,772,282, the Collatz iteration reaches 1 after 169 steps. The first transition is 1386141; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 20089

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,785,920

Proper Divisor Sum 3,013,638

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2772281 ← → #2772293

Radix Representation

Decimal	2772282
Binary	1010100100110100111010 (22 bits)
Octal	0o12446472
Hexadecimal	0x2A4D3A

Divisor Catalog (16)

1 2 3 6 23 46 69 138 20,089 40,178 60,267 120,534 462,047 924,094 1,386,141 2,772,282

Collatz Trajectory (169 steps to reach 1)

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

2,772,282 1,386,141 4,158,424 2,079,212 1,039,606 519,803 1,559,410 779,705 2,339,116 1,169,558 584,779 1,754,338 877,169 2,631,508 1,315,754 657,877 1,973,632 986,816 493,408 246,704 123,352 61,676 30,838 15,419 46,258 23,129 69,388 34,694 17,347 52,042 26,021 78,064 39,032 19,516 9,758 4,879 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82

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