λ
Harmonic Matrix

1,206,543

3 × 13 × 30937
Deficient Odd Composite

1,206,543 has digital root 3. The neighboring primes are 1206539 and 1206553; its proper-divisor sum differs from the starting integer by -680,558.

Prime Factor Structure

Factorization String 3 × 13 × 30937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,732,528
Proper Divisor Sum 525,985
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1206539 ← → #1206553

Radix Representation

Decimal 1206543
Binary 100100110100100001111 (21 bits)
Octal 0o4464417
Hexadecimal 0x12690F

Divisor Catalog (8)

1 3 13 39 30,937 92,811 402,181 1,206,543

Collatz Trajectory (235 steps to reach 1)

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

1,206,543 3,619,630 1,809,815 5,429,446 2,714,723 8,144,170 4,072,085 12,216,256 6,108,128 3,054,064 1,527,032 763,516 381,758 190,879 572,638 286,319 858,958 429,479 1,288,438 644,219 1,932,658 966,329 2,898,988 1,449,494 724,747 2,174,242 1,087,121 3,261,364 1,630,682 815,341 2,446,024 1,223,012 611,506 305,753 917,260 458,630 229,315 687,946 343,973 1,031,920 515,960 257,980 128,990 64,495 193,486 96,743 290,230 145,115 435,346 217,673 653,020 326,510 163,255 489,766 244,883 734,650 367,325 1,101,976 550,988 275,494

More profiles

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