λ
Harmonic Matrix

5,372,304

24 × 3 × 7 × 59 × 271
Abundant Even Composite

5,372,304 has digital root 6. The neighboring primes are 5372303 and 5372309; its proper-divisor sum differs from the starting integer by 5,444,832.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 59 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 16,189,440
Proper Divisor Sum 10,817,136
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5372303 ← → #5372309

Radix Representation

Decimal 5372304
Binary 10100011111100110010000 (23 bits)
Octal 0o24374620
Hexadecimal 0x51F990

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 271 336 354 413 472 542 708 813 826 944 1,084 1,239 1,416 1,626 1,652 1,897 2,168 2,478 2,832 3,252 3,304 3,794 4,336 4,956 5,691 6,504 6,608 7,588 9,912 11,382 13,008 15,176 15,989 19,824 22,764 30,352 31,978

Collatz Trajectory (157 steps to reach 1)

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

5,372,304 2,686,152 1,343,076 671,538 335,769 1,007,308 503,654 251,827 755,482 377,741 1,133,224 566,612 283,306 141,653 424,960 212,480 106,240 53,120 26,560 13,280 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161

More profiles

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