λ
Integer Codex

398,347

398347
Deficient Odd Prime

For 398,347, the 2 positive divisors have a total of 398,348. Removing 398,347 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 398347
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 398,348
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #398341 ← → #398353

Radix Representation

Decimal 398347
Binary 1100001010000001011 (19 bits)
Octal 0o1412013
Hexadecimal 0x6140B

Divisor Catalog (2)

Collatz Trajectory (143 steps to reach 1)

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

398,347 1,195,042 597,521 1,792,564 896,282 448,141 1,344,424 672,212 336,106 168,053 504,160 252,080 126,040 63,020 31,510 15,755 47,266 23,633 70,900 35,450 17,725 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167

More profiles

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