1,046,409

3 × 7 × 13 × 3833

Starting at 1,046,409, the Collatz iteration reaches 1 after 240 steps. The first transition is 3139228; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 3833

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,717,632

Proper Divisor Sum 671,223

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1046399 ← → #1046413

Radix Representation

Decimal	1046409
Binary	11111111011110001001 (20 bits)
Octal	0o3773611
Hexadecimal	0xFF789

Divisor Catalog (16)

1 3 7 13 21 39 91 273 3,833 11,499 26,831 49,829 80,493 149,487 348,803 1,046,409

Collatz Trajectory (240 steps to reach 1)

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

1,046,409 3,139,228 1,569,614 784,807 2,354,422 1,177,211 3,531,634 1,765,817 5,297,452 2,648,726 1,324,363 3,973,090 1,986,545 5,959,636 2,979,818 1,489,909 4,469,728 2,234,864 1,117,432 558,716 279,358 139,679 419,038 209,519 628,558 314,279 942,838 471,419 1,414,258 707,129 2,121,388 1,060,694 530,347 1,591,042 795,521 2,386,564 1,193,282 596,641 1,789,924 894,962 447,481 1,342,444 671,222 335,611 1,006,834 503,417 1,510,252 755,126 377,563 1,132,690 566,345 1,699,036 849,518 424,759 1,274,278 637,139 1,911,418 955,709 2,867,128 1,433,564

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