λ
Harmonic Matrix

8,373,448

23 × 1046681
Deficient Even Composite

8,373,448 has digital root 1. The neighboring primes are 8373397 and 8373461; its proper-divisor sum differs from the starting integer by -1,046,666.

Prime Factor Structure

Factorization String 2^3 × 1046681
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,700,230
Proper Divisor Sum 7,326,782
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8373397 ← → #8373461

Radix Representation

Decimal 8373448
Binary 11111111100010011001000 (23 bits)
Octal 0o37742310
Hexadecimal 0x7FC4C8

Divisor Catalog (8)

1 2 4 8 1,046,681 2,093,362 4,186,724 8,373,448

Collatz Trajectory (137 steps to reach 1)

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

8,373,448 4,186,724 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 66,311 198,934 99,467 298,402 149,201 447,604 223,802 111,901 335,704 167,852 83,926 41,963 125,890 62,945 188,836 94,418 47,209 141,628 70,814 35,407 106,222 53,111

More profiles

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