398,157

3 × 17 × 37 × 211

398,157 factors as 3 × 17 × 37 × 211. Its 16 positive divisors give a proper-divisor sum of 181,875, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 3 × 17 × 37 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 580,032

Proper Divisor Sum 181,875

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #398149 ← → #398171

Radix Representation

Decimal	398157
Binary	1100001001101001101 (19 bits)
Octal	0o1411515
Hexadecimal	0x6134D

Divisor Catalog (16)

1 3 17 37 51 111 211 629 633 1,887 3,587 7,807 10,761 23,421 132,719 398,157

Collatz Trajectory (99 steps to reach 1)

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

398,157 1,194,472 597,236 298,618 149,309 447,928 223,964 111,982 55,991 167,974 83,987 251,962 125,981 377,944 188,972 94,486 47,243 141,730 70,865 212,596 106,298 53,149 159,448 79,724 39,862 19,931 59,794 29,897 89,692 44,846 22,423 67,270 33,635 100,906 50,453 151,360 75,680 37,840 18,920 9,460 4,730 2,365 7,096 3,548 1,774 887 2,662 1,331 3,994 1,997 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422

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