2,508,775

5² × 17 × 5903

Starting at 2,508,775, the Collatz iteration reaches 1 after 174 steps. The first transition is 7526326; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 17 × 5903

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,294,432

Proper Divisor Sum 785,657

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2508773 ← → #2508787

Radix Representation

Decimal	2508775
Binary	1001100100011111100111 (22 bits)
Octal	0o11443747
Hexadecimal	0x2647E7

Divisor Catalog (12)

1 5 17 25 85 425 5,903 29,515 100,351 147,575 501,755 2,508,775

Collatz Trajectory (174 steps to reach 1)

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

2,508,775 7,526,326 3,763,163 11,289,490 5,644,745 16,934,236 8,467,118 4,233,559 12,700,678 6,350,339 19,051,018 9,525,509 28,576,528 14,288,264 7,144,132 3,572,066 1,786,033 5,358,100 2,679,050 1,339,525 4,018,576 2,009,288 1,004,644 502,322 251,161 753,484 376,742 188,371 565,114 282,557 847,672 423,836 211,918 105,959 317,878 158,939 476,818 238,409 715,228 357,614 178,807 536,422 268,211 804,634 402,317 1,206,952 603,476 301,738 150,869 452,608 226,304 113,152 56,576 28,288 14,144 7,072 3,536 1,768 884 442

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