4,170,750

2 × 3 × 5³ × 67 × 83

Starting at 4,170,750, the Collatz iteration reaches 1 after 154 steps. The first transition is 2085375; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 67 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,692,864

Proper Divisor Sum 6,522,114

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4170743 ← → #4170757

Radix Representation

Decimal	4170750
Binary	1111111010001111111110 (22 bits)
Octal	0o17721776
Hexadecimal	0x3FA3FE

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 25 30 50 67 75 83 125 134 150 166 201 249 250 335 375 402 415 498 670 750 830 1,005 1,245 1,675 2,010 2,075 2,490 3,350 4,150 5,025 5,561 6,225 8,375 10,050 10,375 11,122 12,450 16,683 16,750 20,750 25,125 27,805 31,125 33,366 50,250 55,610 62,250 83,415 139,025 166,830 278,050 417,075 695,125

Collatz Trajectory (154 steps to reach 1)

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

4,170,750 2,085,375 6,256,126 3,128,063 9,384,190 4,692,095 14,076,286 7,038,143 21,114,430 10,557,215 31,671,646 15,835,823 47,507,470 23,753,735 71,261,206 35,630,603 106,891,810 53,445,905 160,337,716 80,168,858 40,084,429 120,253,288 60,126,644 30,063,322 15,031,661 45,094,984 22,547,492 11,273,746 5,636,873 16,910,620 8,455,310 4,227,655 12,682,966 6,341,483 19,024,450 9,512,225 28,536,676 14,268,338 7,134,169 21,402,508 10,701,254 5,350,627 16,051,882 8,025,941 24,077,824 12,038,912 6,019,456 3,009,728 1,504,864 752,432 376,216 188,108 94,054 47,027 141,082 70,541 211,624 105,812 52,906 26,453

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