λ
Harmonic Matrix

9,648,470

2 × 5 × 13 × 74219
Deficient Even Composite

9,648,470 has digital root 2. The neighboring primes are 9648439 and 9648473; its proper-divisor sum differs from the starting integer by -593,500.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 74219
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,703,440
Proper Divisor Sum 9,054,970
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9648439 ← → #9648473

Radix Representation

Decimal 9648470
Binary 100100110011100101010110 (24 bits)
Octal 0o44634526
Hexadecimal 0x933956

Divisor Catalog (16)

1 2 5 10 13 26 65 130 74,219 148,438 371,095 742,190 964,847 1,929,694 4,824,235 9,648,470

Collatz Trajectory (269 steps to reach 1)

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

9,648,470 4,824,235 14,472,706 7,236,353 21,709,060 10,854,530 5,427,265 16,281,796 8,140,898 4,070,449 12,211,348 6,105,674 3,052,837 9,158,512 4,579,256 2,289,628 1,144,814 572,407 1,717,222 858,611 2,575,834 1,287,917 3,863,752 1,931,876 965,938 482,969 1,448,908 724,454 362,227 1,086,682 543,341 1,630,024 815,012 407,506 203,753 611,260 305,630 152,815 458,446 229,223 687,670 343,835 1,031,506 515,753 1,547,260 773,630 386,815 1,160,446 580,223 1,740,670 870,335 2,611,006 1,305,503 3,916,510 1,958,255 5,874,766 2,937,383 8,812,150 4,406,075 13,218,226

More profiles

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