6,464,004

2² × 3 × 47 × 73 × 157

Starting at 6,464,004, the Collatz iteration reaches 1 after 116 steps. The first transition is 3232002; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 73 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,714,048

Proper Divisor Sum 9,250,044

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6463999 ← → #6464021

Radix Representation

Decimal	6464004
Binary	11000101010001000000100 (23 bits)
Octal	0o30521004
Hexadecimal	0x62A204

Divisor Catalog (48)

1 2 3 4 6 12 47 73 94 141 146 157 188 219 282 292 314 438 471 564 628 876 942 1,884 3,431 6,862 7,379 10,293 11,461 13,724 14,758 20,586 22,137 22,922 29,516 34,383 41,172 44,274 45,844 68,766 88,548 137,532 538,667 1,077,334 1,616,001 2,154,668 3,232,002 6,464,004

Collatz Trajectory (116 steps to reach 1)

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

6,464,004 3,232,002 1,616,001 4,848,004 2,424,002 1,212,001 3,636,004 1,818,002 909,001 2,727,004 1,363,502 681,751 2,045,254 1,022,627 3,067,882 1,533,941 4,601,824 2,300,912 1,150,456 575,228 287,614 143,807 431,422 215,711 647,134 323,567 970,702 485,351 1,456,054 728,027 2,184,082 1,092,041 3,276,124 1,638,062 819,031 2,457,094 1,228,547 3,685,642 1,842,821 5,528,464 2,764,232 1,382,116 691,058 345,529 1,036,588 518,294 259,147 777,442 388,721 1,166,164 583,082 291,541 874,624 437,312 218,656 109,328 54,664 27,332 13,666 6,833

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