398,871

3³ × 11 × 17 × 79

398,871 factors as 3^3 × 11 × 17 × 79. Its 32 positive divisors give a proper-divisor sum of 292,329, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 17 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 691,200

Proper Divisor Sum 292,329

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #398863 ← → #398887

Radix Representation

Decimal	398871
Binary	1100001011000010111 (19 bits)
Octal	0o1413027
Hexadecimal	0x61617

Divisor Catalog (32)

1 3 9 11 17 27 33 51 79 99 153 187 237 297 459 561 711 869 1,343 1,683 2,133 2,607 4,029 5,049 7,821 12,087 14,773 23,463 36,261 44,319 132,957 398,871

Collatz Trajectory (148 steps to reach 1)

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

398,871 1,196,614 598,307 1,794,922 897,461 2,692,384 1,346,192 673,096 336,548 168,274 84,137 252,412 126,206 63,103 189,310 94,655 283,966 141,983 425,950 212,975 638,926 319,463 958,390 479,195 1,437,586 718,793 2,156,380 1,078,190 539,095 1,617,286 808,643 2,425,930 1,212,965 3,638,896 1,819,448 909,724 454,862 227,431 682,294 341,147 1,023,442 511,721 1,535,164 767,582 383,791 1,151,374 575,687 1,727,062 863,531 2,590,594 1,295,297 3,885,892 1,942,946 971,473 2,914,420 1,457,210 728,605 2,185,816 1,092,908 546,454

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #398,870 Browse Full Index Next Integer #398,872 →