1,105,722

2 × 3² × 47 × 1307

Starting at 1,105,722, the Collatz iteration reaches 1 after 116 steps. The first transition is 552861; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 47 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,448,576

Proper Divisor Sum 1,342,854

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1105711 ← → #1105757

Radix Representation

Decimal	1105722
Binary	100001101111100111010 (21 bits)
Octal	0o4157472
Hexadecimal	0x10DF3A

Divisor Catalog (24)

1 2 3 6 9 18 47 94 141 282 423 846 1,307 2,614 3,921 7,842 11,763 23,526 61,429 122,858 184,287 368,574 552,861 1,105,722

Collatz Trajectory (116 steps to reach 1)

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

1,105,722 552,861 1,658,584 829,292 414,646 207,323 621,970 310,985 932,956 466,478 233,239 699,718 349,859 1,049,578 524,789 1,574,368 787,184 393,592 196,796 98,398 49,199 147,598 73,799 221,398 110,699 332,098 166,049 498,148 249,074 124,537 373,612 186,806 93,403 280,210 140,105 420,316 210,158 105,079 315,238 157,619 472,858 236,429 709,288 354,644 177,322 88,661 265,984 132,992 66,496 33,248 16,624 8,312 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018

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