λ
Harmonic Matrix

374,396

22 × 11 × 67 × 127
Deficient Even Composite

374,396 has digital root 5. The neighboring primes are 374389 and 374399; its proper-divisor sum differs from the starting integer by -17,656.

Prime Factor Structure

Factorization String 2^2 × 11 × 67 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 731,136
Proper Divisor Sum 356,740
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #374389 ← → #374399

Radix Representation

Decimal 374396
Binary 1011011011001111100 (19 bits)
Octal 0o1333174
Hexadecimal 0x5B67C

Divisor Catalog (24)

1 2 4 11 22 44 67 127 134 254 268 508 737 1,397 1,474 2,794 2,948 5,588 8,509 17,018 34,036 93,599 187,198 374,396

Collatz Trajectory (223 steps to reach 1)

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

374,396 187,198 93,599 280,798 140,399 421,198 210,599 631,798 315,899 947,698 473,849 1,421,548 710,774 355,387 1,066,162 533,081 1,599,244 799,622 399,811 1,199,434 599,717 1,799,152 899,576 449,788 224,894 112,447 337,342 168,671 506,014 253,007 759,022 379,511 1,138,534 569,267 1,707,802 853,901 2,561,704 1,280,852 640,426 320,213 960,640 480,320 240,160 120,080 60,040 30,020 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254

More profiles

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