6,351,625

5³ × 7² × 17 × 61

Starting at 6,351,625, the Collatz iteration reaches 1 after 240 steps. The first transition is 19054876; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 7^2 × 17 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,923,472

Proper Divisor Sum 3,571,847

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6351619 ← → #6351629

Radix Representation

Decimal	6351625
Binary	11000001110101100001001 (23 bits)
Octal	0o30165411
Hexadecimal	0x60EB09

Divisor Catalog (48)

1 5 7 17 25 35 49 61 85 119 125 175 245 305 425 427 595 833 875 1,037 1,225 1,525 2,125 2,135 2,975 2,989 4,165 5,185 6,125 7,259 7,625 10,675 14,875 14,945 20,825 25,925 36,295 50,813 53,375 74,725 104,125 129,625 181,475 254,065 373,625 907,375 1,270,325 6,351,625

Collatz Trajectory (240 steps to reach 1)

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

6,351,625 19,054,876 9,527,438 4,763,719 14,291,158 7,145,579 21,436,738 10,718,369 32,155,108 16,077,554 8,038,777 24,116,332 12,058,166 6,029,083 18,087,250 9,043,625 27,130,876 13,565,438 6,782,719 20,348,158 10,174,079 30,522,238 15,261,119 45,783,358 22,891,679 68,675,038 34,337,519 103,012,558 51,506,279 154,518,838 77,259,419 231,778,258 115,889,129 347,667,388 173,833,694 86,916,847 260,750,542 130,375,271 391,125,814 195,562,907 586,688,722 293,344,361 880,033,084 440,016,542 220,008,271 660,024,814 330,012,407 990,037,222 495,018,611 1,485,055,834 742,527,917 2,227,583,752 1,113,791,876 556,895,938 278,447,969 835,343,908 417,671,954 208,835,977 626,507,932 313,253,966

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