λ
Harmonic Matrix

1,437,991

1437991
Deficient Odd Prime

1,437,991 has digital root 7. The neighboring primes are 1437967 and 1438001; its proper-divisor sum differs from the starting integer by -1,437,990.

Prime Factor Structure

Factorization String 1437991
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,437,992
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1437967 ← → #1438001

Radix Representation

Decimal 1437991
Binary 101011111000100100111 (21 bits)
Octal 0o5370447
Hexadecimal 0x15F127

Divisor Catalog (2)

Collatz Trajectory (243 steps to reach 1)

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

1,437,991 4,313,974 2,156,987 6,470,962 3,235,481 9,706,444 4,853,222 2,426,611 7,279,834 3,639,917 10,919,752 5,459,876 2,729,938 1,364,969 4,094,908 2,047,454 1,023,727 3,071,182 1,535,591 4,606,774 2,303,387 6,910,162 3,455,081 10,365,244 5,182,622 2,591,311 7,773,934 3,886,967 11,660,902 5,830,451 17,491,354 8,745,677 26,237,032 13,118,516 6,559,258 3,279,629 9,838,888 4,919,444 2,459,722 1,229,861 3,689,584 1,844,792 922,396 461,198 230,599 691,798 345,899 1,037,698 518,849 1,556,548 778,274 389,137 1,167,412 583,706 291,853 875,560 437,780 218,890 109,445 328,336

More profiles

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