2,141,745

3 × 5 × 17 × 37 × 227

Starting at 2,141,745, the Collatz iteration reaches 1 after 96 steps. The first transition is 6425236; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 37 × 227

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,742,848

Proper Divisor Sum 1,601,103

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2141731 ← → #2141749

Radix Representation

Decimal	2141745
Binary	1000001010111000110001 (22 bits)
Octal	0o10127061
Hexadecimal	0x20AE31

Divisor Catalog (32)

1 3 5 15 17 37 51 85 111 185 227 255 555 629 681 1,135 1,887 3,145 3,405 3,859 8,399 9,435 11,577 19,295 25,197 41,995 57,885 125,985 142,783 428,349 713,915 2,141,745

Collatz Trajectory (96 steps to reach 1)

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

2,141,745 6,425,236 3,212,618 1,606,309 4,818,928 2,409,464 1,204,732 602,366 301,183 903,550 451,775 1,355,326 677,663 2,032,990 1,016,495 3,049,486 1,524,743 4,574,230 2,287,115 6,861,346 3,430,673 10,292,020 5,146,010 2,573,005 7,719,016 3,859,508 1,929,754 964,877 2,894,632 1,447,316 723,658 361,829 1,085,488 542,744 271,372 135,686 67,843 203,530 101,765 305,296 152,648 76,324 38,162 19,081 57,244 28,622 14,311 42,934 21,467 64,402 32,201 96,604 48,302 24,151 72,454 36,227 108,682 54,341 163,024 81,512

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