2,477,638

2 × 19 × 113 × 577

Starting at 2,477,638, the Collatz iteration reaches 1 after 205 steps. The first transition is 1238819; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 19 × 113 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,953,520

Proper Divisor Sum 1,475,882

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #2477623 ← → #2477639

Radix Representation

Decimal	2477638
Binary	1001011100111001000110 (22 bits)
Octal	0o11347106
Hexadecimal	0x25CE46

Divisor Catalog (16)

1 2 19 38 113 226 577 1,154 2,147 4,294 10,963 21,926 65,201 130,402 1,238,819 2,477,638

Collatz Trajectory (205 steps to reach 1)

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

2,477,638 1,238,819 3,716,458 1,858,229 5,574,688 2,787,344 1,393,672 696,836 348,418 174,209 522,628 261,314 130,657 391,972 195,986 97,993 293,980 146,990 73,495 220,486 110,243 330,730 165,365 496,096 248,048 124,024 62,012 31,006 15,503 46,510 23,255 69,766 34,883 104,650 52,325 156,976 78,488 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620

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