2,272,142

2 × 71 × 16001

Starting at 2,272,142, the Collatz iteration reaches 1 after 192 steps. The first transition is 1136071; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 71 × 16001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,456,432

Proper Divisor Sum 1,184,290

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2272141 ← → #2272177

Radix Representation

Decimal	2272142
Binary	1000101010101110001110 (22 bits)
Octal	0o10525616
Hexadecimal	0x22AB8E

Divisor Catalog (8)

1 2 71 142 16,001 32,002 1,136,071 2,272,142

Collatz Trajectory (192 steps to reach 1)

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

2,272,142 1,136,071 3,408,214 1,704,107 5,112,322 2,556,161 7,668,484 3,834,242 1,917,121 5,751,364 2,875,682 1,437,841 4,313,524 2,156,762 1,078,381 3,235,144 1,617,572 808,786 404,393 1,213,180 606,590 303,295 909,886 454,943 1,364,830 682,415 2,047,246 1,023,623 3,070,870 1,535,435 4,606,306 2,303,153 6,909,460 3,454,730 1,727,365 5,182,096 2,591,048 1,295,524 647,762 323,881 971,644 485,822 242,911 728,734 364,367 1,093,102 546,551 1,639,654 819,827 2,459,482 1,229,741 3,689,224 1,844,612 922,306 461,153 1,383,460 691,730 345,865 1,037,596 518,798

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