2,273,971

7 × 17 × 97 × 197

Starting at 2,273,971, the Collatz iteration reaches 1 after 117 steps. The first transition is 6821914; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 17 × 97 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,794,176

Proper Divisor Sum 520,205

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2273963 ← → #2273981

Radix Representation

Decimal	2273971
Binary	1000101011001010110011 (22 bits)
Octal	0o10531263
Hexadecimal	0x22B2B3

Divisor Catalog (16)

1 7 17 97 119 197 679 1,379 1,649 3,349 11,543 19,109 23,443 133,763 324,853 2,273,971

Collatz Trajectory (117 steps to reach 1)

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

2,273,971 6,821,914 3,410,957 10,232,872 5,116,436 2,558,218 1,279,109 3,837,328 1,918,664 959,332 479,666 239,833 719,500 359,750 179,875 539,626 269,813 809,440 404,720 202,360 101,180 50,590 25,295 75,886 37,943 113,830 56,915 170,746 85,373 256,120 128,060 64,030 32,015 96,046 48,023 144,070 72,035 216,106 108,053 324,160 162,080 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405

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