λ
Harmonic Matrix

4,211,362

2 × 2105681
Deficient Even Composite

4,211,362 has digital root 1. The neighboring primes are 4211321 and 4211371; its proper-divisor sum differs from the starting integer by -2,105,678.

Prime Factor Structure

Factorization String 2 × 2105681
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,317,046
Proper Divisor Sum 2,105,684
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #4211321 ← → #4211371

Radix Representation

Decimal 4211362
Binary 10000000100001010100010 (23 bits)
Octal 0o20041242
Hexadecimal 0x4042A2

Divisor Catalog (4)

1 2 2,105,681 4,211,362

Collatz Trajectory (198 steps to reach 1)

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

4,211,362 2,105,681 6,317,044 3,158,522 1,579,261 4,737,784 2,368,892 1,184,446 592,223 1,776,670 888,335 2,665,006 1,332,503 3,997,510 1,998,755 5,996,266 2,998,133 8,994,400 4,497,200 2,248,600 1,124,300 562,150 281,075 843,226 421,613 1,264,840 632,420 316,210 158,105 474,316 237,158 118,579 355,738 177,869 533,608 266,804 133,402 66,701 200,104 100,052 50,026 25,013 75,040 37,520 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728

More profiles

← Previous Integer #4,211,361 Browse Full Index Next Integer #4,211,363 →