λ
Harmonic Matrix

3,409,858

2 × 1704929
Deficient Even Composite

3,409,858 has digital root 1. The neighboring primes are 3409853 and 3409891; its proper-divisor sum differs from the starting integer by -1,704,926.

Prime Factor Structure

Factorization String 2 × 1704929
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,114,790
Proper Divisor Sum 1,704,932
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3409853 ← → #3409891

Radix Representation

Decimal 3409858
Binary 1101000000011111000010 (22 bits)
Octal 0o15003702
Hexadecimal 0x3407C2

Divisor Catalog (4)

1 2 1,704,929 3,409,858

Collatz Trajectory (252 steps to reach 1)

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

3,409,858 1,704,929 5,114,788 2,557,394 1,278,697 3,836,092 1,918,046 959,023 2,877,070 1,438,535 4,315,606 2,157,803 6,473,410 3,236,705 9,710,116 4,855,058 2,427,529 7,282,588 3,641,294 1,820,647 5,461,942 2,730,971 8,192,914 4,096,457 12,289,372 6,144,686 3,072,343 9,217,030 4,608,515 13,825,546 6,912,773 20,738,320 10,369,160 5,184,580 2,592,290 1,296,145 3,888,436 1,944,218 972,109 2,916,328 1,458,164 729,082 364,541 1,093,624 546,812 273,406 136,703 410,110 205,055 615,166 307,583 922,750 461,375 1,384,126 692,063 2,076,190 1,038,095 3,114,286 1,557,143 4,671,430

More profiles

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