3,374,775

3² × 5² × 53 × 283

Starting at 3,374,775, the Collatz iteration reaches 1 after 252 steps. The first transition is 10124326; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 53 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,180,408

Proper Divisor Sum 2,805,633

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3374747 ← → #3374783

Radix Representation

Decimal	3374775
Binary	1100110111111010110111 (22 bits)
Octal	0o14677267
Hexadecimal	0x337EB7

Divisor Catalog (36)

1 3 5 9 15 25 45 53 75 159 225 265 283 477 795 849 1,325 1,415 2,385 2,547 3,975 4,245 7,075 11,925 12,735 14,999 21,225 44,997 63,675 74,995 134,991 224,985 374,975 674,955 1,124,925 3,374,775

Collatz Trajectory (252 steps to reach 1)

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

3,374,775 10,124,326 5,062,163 15,186,490 7,593,245 22,779,736 11,389,868 5,694,934 2,847,467 8,542,402 4,271,201 12,813,604 6,406,802 3,203,401 9,610,204 4,805,102 2,402,551 7,207,654 3,603,827 10,811,482 5,405,741 16,217,224 8,108,612 4,054,306 2,027,153 6,081,460 3,040,730 1,520,365 4,561,096 2,280,548 1,140,274 570,137 1,710,412 855,206 427,603 1,282,810 641,405 1,924,216 962,108 481,054 240,527 721,582 360,791 1,082,374 541,187 1,623,562 811,781 2,435,344 1,217,672 608,836 304,418 152,209 456,628 228,314 114,157 342,472 171,236 85,618 42,809 128,428

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