4,129,009

67 × 61627

4,129,009 has digital root 7. The neighboring primes are 4129007 and 4129031; its proper-divisor sum differs from the starting integer by -4,067,314.

Prime Factor Structure

Factorization String 67 × 61627

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,190,704

Proper Divisor Sum 61,695

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4129007 ← → #4129031

Radix Representation

Decimal	4129009
Binary	1111110000000011110001 (22 bits)
Octal	0o17600361
Hexadecimal	0x3F00F1

Divisor Catalog (4)

1 67 61,627 4,129,009

Collatz Trajectory (105 steps to reach 1)

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

4,129,009 12,387,028 6,193,514 3,096,757 9,290,272 4,645,136 2,322,568 1,161,284 580,642 290,321 870,964 435,482 217,741 653,224 326,612 163,306 81,653 244,960 122,480 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242

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