λ
Harmonic Matrix

8,521,742

2 × 233 × 18287
Deficient Even Composite

8,521,742 has digital root 2. The neighboring primes are 8521739 and 8521759; its proper-divisor sum differs from the starting integer by -4,205,308.

Prime Factor Structure

Factorization String 2 × 233 × 18287
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,838,176
Proper Divisor Sum 4,316,434
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8521739 ← → #8521759

Radix Representation

Decimal 8521742
Binary 100000100000100000001110 (24 bits)
Octal 0o40404016
Hexadecimal 0x82080E

Divisor Catalog (8)

1 2 233 466 18,287 36,574 4,260,871 8,521,742

Collatz Trajectory (98 steps to reach 1)

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

8,521,742 4,260,871 12,782,614 6,391,307 19,173,922 9,586,961 28,760,884 14,380,442 7,190,221 21,570,664 10,785,332 5,392,666 2,696,333 8,089,000 4,044,500 2,022,250 1,011,125 3,033,376 1,516,688 758,344 379,172 189,586 94,793 284,380 142,190 71,095 213,286 106,643 319,930 159,965 479,896 239,948 119,974 59,987 179,962 89,981 269,944 134,972 67,486 33,743 101,230 50,615 151,846 75,923 227,770 113,885 341,656 170,828 85,414 42,707 128,122 64,061 192,184 96,092 48,046 24,023 72,070 36,035 108,106 54,053

More profiles

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