λ
Harmonic Matrix

1,476,991

23 × 64217
Deficient Odd Composite

1,476,991 has digital root 1. The neighboring primes are 1476989 and 1477001; its proper-divisor sum differs from the starting integer by -1,412,750.

Prime Factor Structure

Factorization String 23 × 64217
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,541,232
Proper Divisor Sum 64,241
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1476989 ← → #1477001

Radix Representation

Decimal 1476991
Binary 101101000100101111111 (21 bits)
Octal 0o5504577
Hexadecimal 0x16897F

Divisor Catalog (4)

1 23 64,217 1,476,991

Collatz Trajectory (181 steps to reach 1)

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

1,476,991 4,430,974 2,215,487 6,646,462 3,323,231 9,969,694 4,984,847 14,954,542 7,477,271 22,431,814 11,215,907 33,647,722 16,823,861 50,471,584 25,235,792 12,617,896 6,308,948 3,154,474 1,577,237 4,731,712 2,365,856 1,182,928 591,464 295,732 147,866 73,933 221,800 110,900 55,450 27,725 83,176 41,588 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565

More profiles

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