4,117,378

2 × 61 × 33749

Starting at 4,117,378, the Collatz iteration reaches 1 after 198 steps. The first transition is 2058689; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 61 × 33749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,277,500

Proper Divisor Sum 2,160,122

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4117339 ← → #4117409

Radix Representation

Decimal	4117378
Binary	1111101101001110000010 (22 bits)
Octal	0o17551602
Hexadecimal	0x3ED382

Divisor Catalog (8)

1 2 61 122 33,749 67,498 2,058,689 4,117,378

Collatz Trajectory (198 steps to reach 1)

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

4,117,378 2,058,689 6,176,068 3,088,034 1,544,017 4,632,052 2,316,026 1,158,013 3,474,040 1,737,020 868,510 434,255 1,302,766 651,383 1,954,150 977,075 2,931,226 1,465,613 4,396,840 2,198,420 1,099,210 549,605 1,648,816 824,408 412,204 206,102 103,051 309,154 154,577 463,732 231,866 115,933 347,800 173,900 86,950 43,475 130,426 65,213 195,640 97,820 48,910 24,455 73,366 36,683 110,050 55,025 165,076 82,538 41,269 123,808 61,904 30,952 15,476 7,738 3,869 11,608 5,804 2,902 1,451 4,354

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