368,375

5³ × 7 × 421

368,375 factors as 5^3 × 7 × 421. Its 16 positive divisors give a proper-divisor sum of 158,281, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 5^3 × 7 × 421

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 526,656

Proper Divisor Sum 158,281

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #368369 ← → #368399

Radix Representation

Decimal	368375
Binary	1011001111011110111 (19 bits)
Octal	0o1317367
Hexadecimal	0x59EF7

Divisor Catalog (16)

1 5 7 25 35 125 175 421 875 2,105 2,947 10,525 14,735 52,625 73,675 368,375

Collatz Trajectory (148 steps to reach 1)

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

368,375 1,105,126 552,563 1,657,690 828,845 2,486,536 1,243,268 621,634 310,817 932,452 466,226 233,113 699,340 349,670 174,835 524,506 262,253 786,760 393,380 196,690 98,345 295,036 147,518 73,759 221,278 110,639 331,918 165,959 497,878 248,939 746,818 373,409 1,120,228 560,114 280,057 840,172 420,086 210,043 630,130 315,065 945,196 472,598 236,299 708,898 354,449 1,063,348 531,674 265,837 797,512 398,756 199,378 99,689 299,068 149,534 74,767 224,302 112,151 336,454 168,227 504,682

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