λ
Harmonic Matrix

3,484,835

5 × 59 × 11813
Deficient Odd Composite

3,484,835 has digital root 8. The neighboring primes are 3484829 and 3484837; its proper-divisor sum differs from the starting integer by -2,716,630.

Prime Factor Structure

Factorization String 5 × 59 × 11813
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,253,040
Proper Divisor Sum 768,205
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3484829 ← → #3484837

Radix Representation

Decimal 3484835
Binary 1101010010110010100011 (22 bits)
Octal 0o15226243
Hexadecimal 0x352CA3

Divisor Catalog (8)

1 5 59 295 11,813 59,065 696,967 3,484,835

Collatz Trajectory (128 steps to reach 1)

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

3,484,835 10,454,506 5,227,253 15,681,760 7,840,880 3,920,440 1,960,220 980,110 490,055 1,470,166 735,083 2,205,250 1,102,625 3,307,876 1,653,938 826,969 2,480,908 1,240,454 620,227 1,860,682 930,341 2,791,024 1,395,512 697,756 348,878 174,439 523,318 261,659 784,978 392,489 1,177,468 588,734 294,367 883,102 441,551 1,324,654 662,327 1,986,982 993,491 2,980,474 1,490,237 4,470,712 2,235,356 1,117,678 558,839 1,676,518 838,259 2,514,778 1,257,389 3,772,168 1,886,084 943,042 471,521 1,414,564 707,282 353,641 1,060,924 530,462 265,231 795,694

More profiles

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