4,968,536

2³ × 311 × 1997

Starting at 4,968,536, the Collatz iteration reaches 1 after 144 steps. The first transition is 2484268; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 311 × 1997

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,350,640

Proper Divisor Sum 4,382,104

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #4968517 ← → #4968559

Radix Representation

Decimal	4968536
Binary	10010111101000001011000 (23 bits)
Octal	0o22750130
Hexadecimal	0x4BD058

Divisor Catalog (16)

1 2 4 8 311 622 1,244 1,997 2,488 3,994 7,988 15,976 621,067 1,242,134 2,484,268 4,968,536

Collatz Trajectory (144 steps to reach 1)

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

4,968,536 2,484,268 1,242,134 621,067 1,863,202 931,601 2,794,804 1,397,402 698,701 2,096,104 1,048,052 524,026 262,013 786,040 393,020 196,510 98,255 294,766 147,383 442,150 221,075 663,226 331,613 994,840 497,420 248,710 124,355 373,066 186,533 559,600 279,800 139,900 69,950 34,975 104,926 52,463 157,390 78,695 236,086 118,043 354,130 177,065 531,196 265,598 132,799 398,398 199,199 597,598 298,799 896,398 448,199 1,344,598 672,299 2,016,898 1,008,449 3,025,348 1,512,674 756,337 2,269,012 1,134,506

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