477,345

3 × 5 × 11² × 263

477,345 factors as 3 × 5 × 11^2 × 263. Its 24 positive divisors give a proper-divisor sum of 365,343, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11^2 × 263

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 842,688

Proper Divisor Sum 365,343

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #477341 ← → #477359

Radix Representation

Decimal	477345
Binary	1110100100010100001 (19 bits)
Octal	0o1644241
Hexadecimal	0x748A1

Divisor Catalog (24)

1 3 5 11 15 33 55 121 165 263 363 605 789 1,315 1,815 2,893 3,945 8,679 14,465 31,823 43,395 95,469 159,115 477,345

Collatz Trajectory (120 steps to reach 1)

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

477,345 1,432,036 716,018 358,009 1,074,028 537,014 268,507 805,522 402,761 1,208,284 604,142 302,071 906,214 453,107 1,359,322 679,661 2,038,984 1,019,492 509,746 254,873 764,620 382,310 191,155 573,466 286,733 860,200 430,100 215,050 107,525 322,576 161,288 80,644 40,322 20,161 60,484 30,242 15,121 45,364 22,682 11,341 34,024 17,012 8,506 4,253 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505

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