λ
Integer Codex

365,265

32 × 5 × 8117
Deficient Odd Composite

For 365,265, the 12 positive divisors have a total of 633,204. Removing 365,265 leaves 267,939, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 8117
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 633,204
Proper Divisor Sum 267,939
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #365257 ← → #365291

Radix Representation

Decimal 365265
Binary 1011001001011010001 (19 bits)
Octal 0o1311321
Hexadecimal 0x592D1

Divisor Catalog (12)

1 3 5 9 15 45 8,117 24,351 40,585 73,053 121,755 365,265

Collatz Trajectory (86 steps to reach 1)

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

365,265 1,095,796 547,898 273,949 821,848 410,924 205,462 102,731 308,194 154,097 462,292 231,146 115,573 346,720 173,360 86,680 43,340 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65

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