λ
Sequence Observatory

6,004,031

11 × 73 × 7477
Deficient Odd Composite

Starting at 6,004,031, the Collatz iteration reaches 1 after 165 steps. The first transition is 18012094; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 73 × 7477
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,640,464
Proper Divisor Sum 636,433
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #6004021 ← → #6004067

Radix Representation

Decimal 6004031
Binary 10110111001110100111111 (23 bits)
Octal 0o26716477
Hexadecimal 0x5B9D3F

Divisor Catalog (8)

1 11 73 803 7,477 82,247 545,821 6,004,031

Collatz Trajectory (165 steps to reach 1)

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

6,004,031 18,012,094 9,006,047 27,018,142 13,509,071 40,527,214 20,263,607 60,790,822 30,395,411 91,186,234 45,593,117 136,779,352 68,389,676 34,194,838 17,097,419 51,292,258 25,646,129 76,938,388 38,469,194 19,234,597 57,703,792 28,851,896 14,425,948 7,212,974 3,606,487 10,819,462 5,409,731 16,229,194 8,114,597 24,343,792 12,171,896 6,085,948 3,042,974 1,521,487 4,564,462 2,282,231 6,846,694 3,423,347 10,270,042 5,135,021 15,405,064 7,702,532 3,851,266 1,925,633 5,776,900 2,888,450 1,444,225 4,332,676 2,166,338 1,083,169 3,249,508 1,624,754 812,377 2,437,132 1,218,566 609,283 1,827,850 913,925 2,741,776 1,370,888

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