λ
Integer Codex

4,245,629

29 × 281 × 521
Deficient Odd Composite

For 4,245,629, the 8 positive divisors have a total of 4,416,120. Removing 4,245,629 leaves 170,491, which gives the deficient classification.

Prime Factor Structure

Factorization String 29 × 281 × 521
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,416,120
Proper Divisor Sum 170,491
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4245623 ← → #4245643

Radix Representation

Decimal 4245629
Binary 10000001100100001111101 (23 bits)
Octal 0o20144175
Hexadecimal 0x40C87D

Divisor Catalog (8)

1 29 281 521 8,149 15,109 146,401 4,245,629

Collatz Trajectory (149 steps to reach 1)

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

4,245,629 12,736,888 6,368,444 3,184,222 1,592,111 4,776,334 2,388,167 7,164,502 3,582,251 10,746,754 5,373,377 16,120,132 8,060,066 4,030,033 12,090,100 6,045,050 3,022,525 9,067,576 4,533,788 2,266,894 1,133,447 3,400,342 1,700,171 5,100,514 2,550,257 7,650,772 3,825,386 1,912,693 5,738,080 2,869,040 1,434,520 717,260 358,630 179,315 537,946 268,973 806,920 403,460 201,730 100,865 302,596 151,298 75,649 226,948 113,474 56,737 170,212 85,106 42,553 127,660 63,830 31,915 95,746 47,873 143,620 71,810 35,905 107,716 53,858 26,929

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