λ
Harmonic Matrix

1,413,409

89 × 15881
Deficient Odd Composite

1,413,409 has digital root 4. The neighboring primes are 1413371 and 1413413; its proper-divisor sum differs from the starting integer by -1,397,438.

Prime Factor Structure

Factorization String 89 × 15881
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,429,380
Proper Divisor Sum 15,971
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1413371 ← → #1413413

Radix Representation

Decimal 1413409
Binary 101011001000100100001 (21 bits)
Octal 0o5310441
Hexadecimal 0x159121

Divisor Catalog (4)

1 89 15,881 1,413,409

Collatz Trajectory (106 steps to reach 1)

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

1,413,409 4,240,228 2,120,114 1,060,057 3,180,172 1,590,086 795,043 2,385,130 1,192,565 3,577,696 1,788,848 894,424 447,212 223,606 111,803 335,410 167,705 503,116 251,558 125,779 377,338 188,669 566,008 283,004 141,502 70,751 212,254 106,127 318,382 159,191 477,574 238,787 716,362 358,181 1,074,544 537,272 268,636 134,318 67,159 201,478 100,739 302,218 151,109 453,328 226,664 113,332 56,666 28,333 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966

More profiles

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