1,241,751

3 × 7 × 29 × 2039

Starting at 1,241,751, the Collatz iteration reaches 1 after 67 steps. The first transition is 3725254; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 29 × 2039

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,958,400

Proper Divisor Sum 716,649

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1241743 ← → #1241761

Radix Representation

Decimal	1241751
Binary	100101111001010010111 (21 bits)
Octal	0o4571227
Hexadecimal	0x12F297

Divisor Catalog (16)

1 3 7 21 29 87 203 609 2,039 6,117 14,273 42,819 59,131 177,393 413,917 1,241,751

Collatz Trajectory (67 steps to reach 1)

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

1,241,751 3,725,254 1,862,627 5,587,882 2,793,941 8,381,824 4,190,912 2,095,456 1,047,728 523,864 261,932 130,966 65,483 196,450 98,225 294,676 147,338 73,669 221,008 110,504 55,252 27,626 13,813 41,440 20,720 10,360 5,180 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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