λ
Harmonic Matrix

1,787,937

3 × 29 × 20551
Deficient Odd Composite

1,787,937 has digital root 6. The neighboring primes are 1787923 and 1787953; its proper-divisor sum differs from the starting integer by -1,109,634.

Prime Factor Structure

Factorization String 3 × 29 × 20551
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,466,240
Proper Divisor Sum 678,303
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1787923 ← → #1787953

Radix Representation

Decimal 1787937
Binary 110110100100000100001 (21 bits)
Octal 0o6644041
Hexadecimal 0x1B4821

Divisor Catalog (8)

1 3 29 87 20,551 61,653 595,979 1,787,937

Collatz Trajectory (158 steps to reach 1)

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

1,787,937 5,363,812 2,681,906 1,340,953 4,022,860 2,011,430 1,005,715 3,017,146 1,508,573 4,525,720 2,262,860 1,131,430 565,715 1,697,146 848,573 2,545,720 1,272,860 636,430 318,215 954,646 477,323 1,431,970 715,985 2,147,956 1,073,978 536,989 1,610,968 805,484 402,742 201,371 604,114 302,057 906,172 453,086 226,543 679,630 339,815 1,019,446 509,723 1,529,170 764,585 2,293,756 1,146,878 573,439 1,720,318 860,159 2,580,478 1,290,239 3,870,718 1,935,359 5,806,078 2,903,039 8,709,118 4,354,559 13,063,678 6,531,839 19,595,518 9,797,759 29,393,278 14,696,639

More profiles

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