λ
Integer Codex

4,004,255

5 × 67 × 11953
Deficient Odd Composite

For 4,004,255, the 8 positive divisors have a total of 4,877,232. Removing 4,004,255 leaves 872,977, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 67 × 11953
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,877,232
Proper Divisor Sum 872,977
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4004249 ← → #4004267

Radix Representation

Decimal 4004255
Binary 1111010001100110011111 (22 bits)
Octal 0o17214637
Hexadecimal 0x3D199F

Divisor Catalog (8)

1 5 67 335 11,953 59,765 800,851 4,004,255

Collatz Trajectory (141 steps to reach 1)

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

4,004,255 12,012,766 6,006,383 18,019,150 9,009,575 27,028,726 13,514,363 40,543,090 20,271,545 60,814,636 30,407,318 15,203,659 45,610,978 22,805,489 68,416,468 34,208,234 17,104,117 51,312,352 25,656,176 12,828,088 6,414,044 3,207,022 1,603,511 4,810,534 2,405,267 7,215,802 3,607,901 10,823,704 5,411,852 2,705,926 1,352,963 4,058,890 2,029,445 6,088,336 3,044,168 1,522,084 761,042 380,521 1,141,564 570,782 285,391 856,174 428,087 1,284,262 642,131 1,926,394 963,197 2,889,592 1,444,796 722,398 361,199 1,083,598 541,799 1,625,398 812,699 2,438,098 1,219,049 3,657,148 1,828,574 914,287

More profiles

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