λ
Harmonic Matrix

367,627

13 × 28279
Deficient Odd Composite

367,627 has digital root 4. The neighboring primes are 367621 and 367637; its proper-divisor sum differs from the starting integer by -339,334.

Prime Factor Structure

Factorization String 13 × 28279
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 395,920
Proper Divisor Sum 28,293
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #367621 ← → #367637

Radix Representation

Decimal 367627
Binary 1011001110000001011 (19 bits)
Octal 0o1316013
Hexadecimal 0x59C0B

Divisor Catalog (4)

1 13 28,279 367,627

Collatz Trajectory (86 steps to reach 1)

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

367,627 1,102,882 551,441 1,654,324 827,162 413,581 1,240,744 620,372 310,186 155,093 465,280 232,640 116,320 58,160 29,080 14,540 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65

More profiles

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