λ
Harmonic Matrix

2,461,291

7 × 587 × 599
Deficient Odd Composite

2,461,291 has digital root 7. The neighboring primes are 2461247 and 2461297; its proper-divisor sum differs from the starting integer by -2,100,182.

Prime Factor Structure

Factorization String 7 × 587 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,822,400
Proper Divisor Sum 361,109
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2461247 ← → #2461297

Radix Representation

Decimal 2461291
Binary 1001011000111001101011 (22 bits)
Octal 0o11307153
Hexadecimal 0x258E6B

Divisor Catalog (8)

1 7 587 599 4,109 4,193 351,613 2,461,291

Collatz Trajectory (174 steps to reach 1)

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

2,461,291 7,383,874 3,691,937 11,075,812 5,537,906 2,768,953 8,306,860 4,153,430 2,076,715 6,230,146 3,115,073 9,345,220 4,672,610 2,336,305 7,008,916 3,504,458 1,752,229 5,256,688 2,628,344 1,314,172 657,086 328,543 985,630 492,815 1,478,446 739,223 2,217,670 1,108,835 3,326,506 1,663,253 4,989,760 2,494,880 1,247,440 623,720 311,860 155,930 77,965 233,896 116,948 58,474 29,237 87,712 43,856 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436

More profiles

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