λ
Harmonic Matrix

1,626,231

3 × 547 × 991
Deficient Odd Composite

1,626,231 has digital root 3. The neighboring primes are 1626227 and 1626239; its proper-divisor sum differs from the starting integer by -1,077,998.

Prime Factor Structure

Factorization String 3 × 547 × 991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,174,464
Proper Divisor Sum 548,233
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1626227 ← → #1626239

Radix Representation

Decimal 1626231
Binary 110001101000001110111 (21 bits)
Octal 0o6150167
Hexadecimal 0x18D077

Divisor Catalog (8)

1 3 547 991 1,641 2,973 542,077 1,626,231

Collatz Trajectory (88 steps to reach 1)

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

1,626,231 4,878,694 2,439,347 7,318,042 3,659,021 10,977,064 5,488,532 2,744,266 1,372,133 4,116,400 2,058,200 1,029,100 514,550 257,275 771,826 385,913 1,157,740 578,870 289,435 868,306 434,153 1,302,460 651,230 325,615 976,846 488,423 1,465,270 732,635 2,197,906 1,098,953 3,296,860 1,648,430 824,215 2,472,646 1,236,323 3,708,970 1,854,485 5,563,456 2,781,728 1,390,864 695,432 347,716 173,858 86,929 260,788 130,394 65,197 195,592 97,796 48,898 24,449 73,348 36,674 18,337 55,012 27,506 13,753 41,260 20,630 10,315

More profiles

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