λ
Harmonic Matrix

2,115,481

2115481
Deficient Odd Prime

2,115,481 has digital root 4. The neighboring primes are 2115469 and 2115493; its proper-divisor sum differs from the starting integer by -2,115,480.

Prime Factor Structure

Factorization String 2115481
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,115,482
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2115469 ← → #2115493

Radix Representation

Decimal 2115481
Binary 1000000100011110011001 (22 bits)
Octal 0o10043631
Hexadecimal 0x204799

Divisor Catalog (2)

Collatz Trajectory (197 steps to reach 1)

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

2,115,481 6,346,444 3,173,222 1,586,611 4,759,834 2,379,917 7,139,752 3,569,876 1,784,938 892,469 2,677,408 1,338,704 669,352 334,676 167,338 83,669 251,008 125,504 62,752 31,376 15,688 7,844 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430

More profiles

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