4,007,777

4007777

Starting at 4,007,777, the Collatz iteration reaches 1 after 115 steps. The first transition is 12023332; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4007777

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 4,007,778

Proper Divisor Sum 1

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4007747 ← → #4007789

Radix Representation

Decimal	4007777
Binary	1111010010011101100001 (22 bits)
Octal	0o17223541
Hexadecimal	0x3D2761

Divisor Catalog (2)

1 4,007,777

Collatz Trajectory (115 steps to reach 1)

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

4,007,777 12,023,332 6,011,666 3,005,833 9,017,500 4,508,750 2,254,375 6,763,126 3,381,563 10,144,690 5,072,345 15,217,036 7,608,518 3,804,259 11,412,778 5,706,389 17,119,168 8,559,584 4,279,792 2,139,896 1,069,948 534,974 267,487 802,462 401,231 1,203,694 601,847 1,805,542 902,771 2,708,314 1,354,157 4,062,472 2,031,236 1,015,618 507,809 1,523,428 761,714 380,857 1,142,572 571,286 285,643 856,930 428,465 1,285,396 642,698 321,349 964,048 482,024 241,012 120,506 60,253 180,760 90,380 45,190 22,595 67,786 33,893 101,680 50,840 25,420

← Previous Integer #4,007,776 Browse Full Index Next Integer #4,007,778 →