2,191,756

2² × 7 × 78277

Starting at 2,191,756, the Collatz iteration reaches 1 after 104 steps. The first transition is 1095878; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 78277

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,383,568

Proper Divisor Sum 2,191,812

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2191727 ← → #2191799

Radix Representation

Decimal	2191756
Binary	1000010111000110001100 (22 bits)
Octal	0o10270614
Hexadecimal	0x21718C

Divisor Catalog (12)

1 2 4 7 14 28 78,277 156,554 313,108 547,939 1,095,878 2,191,756

Collatz Trajectory (104 steps to reach 1)

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

2,191,756 1,095,878 547,939 1,643,818 821,909 2,465,728 1,232,864 616,432 308,216 154,108 77,054 38,527 115,582 57,791 173,374 86,687 260,062 130,031 390,094 195,047 585,142 292,571 877,714 438,857 1,316,572 658,286 329,143 987,430 493,715 1,481,146 740,573 2,221,720 1,110,860 555,430 277,715 833,146 416,573 1,249,720 624,860 312,430 156,215 468,646 234,323 702,970 351,485 1,054,456 527,228 263,614 131,807 395,422 197,711 593,134 296,567 889,702 444,851 1,334,554 667,277 2,001,832 1,000,916 500,458

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