λ
Harmonic Matrix

3,459,263

3459263
Deficient Odd Prime

3,459,263 has digital root 5. The neighboring primes are 3459233 and 3459271; its proper-divisor sum differs from the starting integer by -3,459,262.

Prime Factor Structure

Factorization String 3459263
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,459,264
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3459233 ← → #3459271

Radix Representation

Decimal 3459263
Binary 1101001100100010111111 (22 bits)
Octal 0o15144277
Hexadecimal 0x34C8BF

Divisor Catalog (2)

Collatz Trajectory (208 steps to reach 1)

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

3,459,263 10,377,790 5,188,895 15,566,686 7,783,343 23,350,030 11,675,015 35,025,046 17,512,523 52,537,570 26,268,785 78,806,356 39,403,178 19,701,589 59,104,768 29,552,384 14,776,192 7,388,096 3,694,048 1,847,024 923,512 461,756 230,878 115,439 346,318 173,159 519,478 259,739 779,218 389,609 1,168,828 584,414 292,207 876,622 438,311 1,314,934 657,467 1,972,402 986,201 2,958,604 1,479,302 739,651 2,218,954 1,109,477 3,328,432 1,664,216 832,108 416,054 208,027 624,082 312,041 936,124 468,062 234,031 702,094 351,047 1,053,142 526,571 1,579,714 789,857

More profiles

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