λ
Harmonic Matrix

3,455,575

52 × 277 × 499
Deficient Odd Composite

3,455,575 has digital root 7. The neighboring primes are 3455567 and 3455591; its proper-divisor sum differs from the starting integer by -2,602,150.

Prime Factor Structure

Factorization String 5^2 × 277 × 499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,309,000
Proper Divisor Sum 853,425
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3455567 ← → #3455591

Radix Representation

Decimal 3455575
Binary 1101001011101001010111 (22 bits)
Octal 0o15135127
Hexadecimal 0x34BA57

Divisor Catalog (12)

1 5 25 277 499 1,385 2,495 6,925 12,475 138,223 691,115 3,455,575

Collatz Trajectory (221 steps to reach 1)

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

3,455,575 10,366,726 5,183,363 15,550,090 7,775,045 23,325,136 11,662,568 5,831,284 2,915,642 1,457,821 4,373,464 2,186,732 1,093,366 546,683 1,640,050 820,025 2,460,076 1,230,038 615,019 1,845,058 922,529 2,767,588 1,383,794 691,897 2,075,692 1,037,846 518,923 1,556,770 778,385 2,335,156 1,167,578 583,789 1,751,368 875,684 437,842 218,921 656,764 328,382 164,191 492,574 246,287 738,862 369,431 1,108,294 554,147 1,662,442 831,221 2,493,664 1,246,832 623,416 311,708 155,854 77,927 233,782 116,891 350,674 175,337 526,012 263,006 131,503

More profiles

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