λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,424,570

1,424,570

2 × 5 × 7 × 47 × 433
Abundant Even Composite

1,424,570 factors as 2 × 5 × 7 × 47 × 433. Its 32 positive divisors give a proper-divisor sum of 1,575,238, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 47 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,999,808
Proper Divisor Sum 1,575,238
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1424569 ← → #1424573

Radix Representation

Decimal 1424570
Binary 101011011110010111010 (21 bits)
Octal 0o5336272
Hexadecimal 0x15BCBA

Divisor Catalog (32)

1 2 5 7 10 14 35 47 70 94 235 329 433 470 658 866 1,645 2,165 3,031 3,290 4,330 6,062 15,155 20,351 30,310 40,702 101,755 142,457 203,510 284,914 712,285 1,424,570

Collatz Trajectory (124 steps to reach 1)

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

1,424,570 712,285 2,136,856 1,068,428 534,214 267,107 801,322 400,661 1,201,984 600,992 300,496 150,248 75,124 37,562 18,781 56,344 28,172 14,086 7,043 21,130 10,565 31,696 15,848 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058

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