4,098,977

509 × 8053

Starting at 4,098,977, the Collatz iteration reaches 1 after 110 steps. The first transition is 12296932; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 509 × 8053

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,107,540

Proper Divisor Sum 8,563

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #4098973 ← → #4099001

Radix Representation

Decimal	4098977
Binary	1111101000101110100001 (22 bits)
Octal	0o17505641
Hexadecimal	0x3E8BA1

Divisor Catalog (4)

1 509 8,053 4,098,977

Collatz Trajectory (110 steps to reach 1)

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

4,098,977 12,296,932 6,148,466 3,074,233 9,222,700 4,611,350 2,305,675 6,917,026 3,458,513 10,375,540 5,187,770 2,593,885 7,781,656 3,890,828 1,945,414 972,707 2,918,122 1,459,061 4,377,184 2,188,592 1,094,296 547,148 273,574 136,787 410,362 205,181 615,544 307,772 153,886 76,943 230,830 115,415 346,246 173,123 519,370 259,685 779,056 389,528 194,764 97,382 48,691 146,074 73,037 219,112 109,556 54,778 27,389 82,168 41,084 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004

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