1,648,407

3 × 71² × 109

Starting at 1,648,407, the Collatz iteration reaches 1 after 119 steps. The first transition is 4945222; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 71^2 × 109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,249,720

Proper Divisor Sum 601,313

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1648391 ← → #1648417

Radix Representation

Decimal	1648407
Binary	110010010011100010111 (21 bits)
Octal	0o6223427
Hexadecimal	0x192717

Divisor Catalog (12)

1 3 71 109 213 327 5,041 7,739 15,123 23,217 549,469 1,648,407

Collatz Trajectory (119 steps to reach 1)

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

1,648,407 4,945,222 2,472,611 7,417,834 3,708,917 11,126,752 5,563,376 2,781,688 1,390,844 695,422 347,711 1,043,134 521,567 1,564,702 782,351 2,347,054 1,173,527 3,520,582 1,760,291 5,280,874 2,640,437 7,921,312 3,960,656 1,980,328 990,164 495,082 247,541 742,624 371,312 185,656 92,828 46,414 23,207 69,622 34,811 104,434 52,217 156,652 78,326 39,163 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268 99,134 49,567 148,702 74,351 223,054 111,527 334,582 167,291 501,874 250,937 752,812 376,406

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