λ
Harmonic Matrix

1,979,481

3 × 7 × 94261
Deficient Odd Composite

1,979,481 has digital root 3. The neighboring primes are 1979473 and 1979489; its proper-divisor sum differs from the starting integer by -942,578.

Prime Factor Structure

Factorization String 3 × 7 × 94261
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,016,384
Proper Divisor Sum 1,036,903
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1979473 ← → #1979489

Radix Representation

Decimal 1979481
Binary 111100011010001011001 (21 bits)
Octal 0o7432131
Hexadecimal 0x1E3459

Divisor Catalog (8)

1 3 7 21 94,261 282,783 659,827 1,979,481

Collatz Trajectory (122 steps to reach 1)

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

1,979,481 5,938,444 2,969,222 1,484,611 4,453,834 2,226,917 6,680,752 3,340,376 1,670,188 835,094 417,547 1,252,642 626,321 1,878,964 939,482 469,741 1,409,224 704,612 352,306 176,153 528,460 264,230 132,115 396,346 198,173 594,520 297,260 148,630 74,315 222,946 111,473 334,420 167,210 83,605 250,816 125,408 62,704 31,352 15,676 7,838 3,919 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562

More profiles

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