2,914,197

3 × 11 × 13 × 6793

Starting at 2,914,197, the Collatz iteration reaches 1 after 182 steps. The first transition is 8742592; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 6793

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,565,568

Proper Divisor Sum 1,651,371

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2914193 ← → #2914199

Radix Representation

Decimal	2914197
Binary	1011000111011110010101 (22 bits)
Octal	0o13073625
Hexadecimal	0x2C7795

Divisor Catalog (16)

1 3 11 13 33 39 143 429 6,793 20,379 74,723 88,309 224,169 264,927 971,399 2,914,197

Collatz Trajectory (182 steps to reach 1)

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

2,914,197 8,742,592 4,371,296 2,185,648 1,092,824 546,412 273,206 136,603 409,810 204,905 614,716 307,358 153,679 461,038 230,519 691,558 345,779 1,037,338 518,669 1,556,008 778,004 389,002 194,501 583,504 291,752 145,876 72,938 36,469 109,408 54,704 27,352 13,676 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514

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