λ
Harmonic Matrix

1,413,088

25 × 44159
Deficient Even Composite

1,413,088 has digital root 7. The neighboring primes are 1413079 and 1413089; its proper-divisor sum differs from the starting integer by -44,096.

Prime Factor Structure

Factorization String 2^5 × 44159
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,782,080
Proper Divisor Sum 1,368,992
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1413079 ← → #1413089

Radix Representation

Decimal 1413088
Binary 101011000111111100000 (21 bits)
Octal 0o5307740
Hexadecimal 0x158FE0

Divisor Catalog (12)

1 2 4 8 16 32 44,159 88,318 176,636 353,272 706,544 1,413,088

Collatz Trajectory (106 steps to reach 1)

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

1,413,088 706,544 353,272 176,636 88,318 44,159 132,478 66,239 198,718 99,359 298,078 149,039 447,118 223,559 670,678 335,339 1,006,018 503,009 1,509,028 754,514 377,257 1,131,772 565,886 282,943 848,830 424,415 1,273,246 636,623 1,909,870 954,935 2,864,806 1,432,403 4,297,210 2,148,605 6,445,816 3,222,908 1,611,454 805,727 2,417,182 1,208,591 3,625,774 1,812,887 5,438,662 2,719,331 8,157,994 4,078,997 12,236,992 6,118,496 3,059,248 1,529,624 764,812 382,406 191,203 573,610 286,805 860,416 430,208 215,104 107,552 53,776

More profiles

← Previous Integer #1,413,087 Browse Full Index Next Integer #1,413,089 →