4,178,863

13² × 79 × 313

Starting at 4,178,863, the Collatz iteration reaches 1 after 136 steps. The first transition is 12536590; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 79 × 313

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,596,960

Proper Divisor Sum 418,097

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4178861 ← → #4178873

Radix Representation

Decimal	4178863
Binary	1111111100001110101111 (22 bits)
Octal	0o17741657
Hexadecimal	0x3FC3AF

Divisor Catalog (12)

1 13 79 169 313 1,027 4,069 13,351 24,727 52,897 321,451 4,178,863

Collatz Trajectory (136 steps to reach 1)

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

4,178,863 12,536,590 6,268,295 18,804,886 9,402,443 28,207,330 14,103,665 42,310,996 21,155,498 10,577,749 31,733,248 15,866,624 7,933,312 3,966,656 1,983,328 991,664 495,832 247,916 123,958 61,979 185,938 92,969 278,908 139,454 69,727 209,182 104,591 313,774 156,887 470,662 235,331 705,994 352,997 1,058,992 529,496 264,748 132,374 66,187 198,562 99,281 297,844 148,922 74,461 223,384 111,692 55,846 27,923 83,770 41,885 125,656 62,828 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507

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