2,825,277

3 × 7 × 13 × 79 × 131

Starting at 2,825,277, the Collatz iteration reaches 1 after 107 steps. The first transition is 8475832; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 79 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,730,880

Proper Divisor Sum 1,905,603

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2825261 ← → #2825287

Radix Representation

Decimal	2825277
Binary	1010110001110000111101 (22 bits)
Octal	0o12616075
Hexadecimal	0x2B1C3D

Divisor Catalog (32)

1 3 7 13 21 39 79 91 131 237 273 393 553 917 1,027 1,659 1,703 2,751 3,081 5,109 7,189 10,349 11,921 21,567 31,047 35,763 72,443 134,537 217,329 403,611 941,759 2,825,277

Collatz Trajectory (107 steps to reach 1)

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

2,825,277 8,475,832 4,237,916 2,118,958 1,059,479 3,178,438 1,589,219 4,767,658 2,383,829 7,151,488 3,575,744 1,787,872 893,936 446,968 223,484 111,742 55,871 167,614 83,807 251,422 125,711 377,134 188,567 565,702 282,851 848,554 424,277 1,272,832 636,416 318,208 159,104 79,552 39,776 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499

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