λ
Harmonic Matrix

3,484,989

32 × 31 × 12491
Deficient Odd Composite

3,484,989 has digital root 9. The neighboring primes are 3484979 and 3484997; its proper-divisor sum differs from the starting integer by -1,773,306.

Prime Factor Structure

Factorization String 3^2 × 31 × 12491
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,196,672
Proper Divisor Sum 1,711,683
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3484979 ← → #3484997

Radix Representation

Decimal 3484989
Binary 1101010010110100111101 (22 bits)
Octal 0o15226475
Hexadecimal 0x352D3D

Divisor Catalog (12)

1 3 9 31 93 279 12,491 37,473 112,419 387,221 1,161,663 3,484,989

Collatz Trajectory (159 steps to reach 1)

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

3,484,989 10,454,968 5,227,484 2,613,742 1,306,871 3,920,614 1,960,307 5,880,922 2,940,461 8,821,384 4,410,692 2,205,346 1,102,673 3,308,020 1,654,010 827,005 2,481,016 1,240,508 620,254 310,127 930,382 465,191 1,395,574 697,787 2,093,362 1,046,681 3,140,044 1,570,022 785,011 2,355,034 1,177,517 3,532,552 1,766,276 883,138 441,569 1,324,708 662,354 331,177 993,532 496,766 248,383 745,150 372,575 1,117,726 558,863 1,676,590 838,295 2,514,886 1,257,443 3,772,330 1,886,165 5,658,496 2,829,248 1,414,624 707,312 353,656 176,828 88,414 44,207 132,622

More profiles

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