4,028,765

5 × 13 × 61981

Starting at 4,028,765, the Collatz iteration reaches 1 after 92 steps. The first transition is 12086296; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 61981

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,206,488

Proper Divisor Sum 1,177,723

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4028747 ← → #4028771

Radix Representation

Decimal	4028765
Binary	1111010111100101011101 (22 bits)
Octal	0o17274535
Hexadecimal	0x3D795D

Divisor Catalog (8)

1 5 13 65 61,981 309,905 805,753 4,028,765

Collatz Trajectory (92 steps to reach 1)

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

4,028,765 12,086,296 6,043,148 3,021,574 1,510,787 4,532,362 2,266,181 6,798,544 3,399,272 1,699,636 849,818 424,909 1,274,728 637,364 318,682 159,341 478,024 239,012 119,506 59,753 179,260 89,630 44,815 134,446 67,223 201,670 100,835 302,506 151,253 453,760 226,880 113,440 56,720 28,360 14,180 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119

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