2,071,102

2 × 11 × 47 × 2003

Starting at 2,071,102, the Collatz iteration reaches 1 after 197 steps. The first transition is 1035551; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 47 × 2003

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,462,912

Proper Divisor Sum 1,391,810

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #2071087 ← → #2071123

Radix Representation

Decimal	2071102
Binary	111111001101000111110 (21 bits)
Octal	0o7715076
Hexadecimal	0x1F9A3E

Divisor Catalog (16)

1 2 11 22 47 94 517 1,034 2,003 4,006 22,033 44,066 94,141 188,282 1,035,551 2,071,102

Collatz Trajectory (197 steps to reach 1)

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

2,071,102 1,035,551 3,106,654 1,553,327 4,659,982 2,329,991 6,989,974 3,494,987 10,484,962 5,242,481 15,727,444 7,863,722 3,931,861 11,795,584 5,897,792 2,948,896 1,474,448 737,224 368,612 184,306 92,153 276,460 138,230 69,115 207,346 103,673 311,020 155,510 77,755 233,266 116,633 349,900 174,950 87,475 262,426 131,213 393,640 196,820 98,410 49,205 147,616 73,808 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194

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