2,106,472

2³ × 179 × 1471

Starting at 2,106,472, the Collatz iteration reaches 1 after 272 steps. The first transition is 1053236; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 179 × 1471

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,974,400

Proper Divisor Sum 1,867,928

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #2106463 ← → #2106479

Radix Representation

Decimal	2106472
Binary	1000000010010001101000 (22 bits)
Octal	0o10022150
Hexadecimal	0x202468

Divisor Catalog (16)

1 2 4 8 179 358 716 1,432 1,471 2,942 5,884 11,768 263,309 526,618 1,053,236 2,106,472

Collatz Trajectory (272 steps to reach 1)

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

2,106,472 1,053,236 526,618 263,309 789,928 394,964 197,482 98,741 296,224 148,112 74,056 37,028 18,514 9,257 27,772 13,886 6,943 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185

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