4,190,081

7 × 79 × 7577

Starting at 4,190,081, the Collatz iteration reaches 1 after 136 steps. The first transition is 12570244; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 79 × 7577

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,849,920

Proper Divisor Sum 659,839

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4190063 ← → #4190083

Radix Representation

Decimal	4190081
Binary	1111111110111110000001 (22 bits)
Octal	0o17767601
Hexadecimal	0x3FEF81

Divisor Catalog (8)

1 7 79 553 7,577 53,039 598,583 4,190,081

Collatz Trajectory (136 steps to reach 1)

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

4,190,081 12,570,244 6,285,122 3,142,561 9,427,684 4,713,842 2,356,921 7,070,764 3,535,382 1,767,691 5,303,074 2,651,537 7,954,612 3,977,306 1,988,653 5,965,960 2,982,980 1,491,490 745,745 2,237,236 1,118,618 559,309 1,677,928 838,964 419,482 209,741 629,224 314,612 157,306 78,653 235,960 117,980 58,990 29,495 88,486 44,243 132,730 66,365 199,096 99,548 49,774 24,887 74,662 37,331 111,994 55,997 167,992 83,996 41,998 20,999 62,998 31,499 94,498 47,249 141,748 70,874 35,437 106,312 53,156 26,578

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