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Atlas › Integer Profiles › Node 1,494,486

1,494,486

2 × 32 × 7 × 29 × 409
Abundant Even Composite

1,494,486 factors as 2 × 3^2 × 7 × 29 × 409. Its 48 positive divisors give a proper-divisor sum of 2,343,114, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 29 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,837,600
Proper Divisor Sum 2,343,114
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1494481 ← → #1494509

Radix Representation

Decimal 1494486
Binary 101101100110111010110 (21 bits)
Octal 0o5546726
Hexadecimal 0x16CDD6

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 409 522 609 818 1,218 1,227 1,827 2,454 2,863 3,654 3,681 5,726 7,362 8,589 11,861 17,178 23,722 25,767 35,583 51,534 71,166 83,027 106,749 166,054 213,498 249,081 498,162 747,243 1,494,486

Collatz Trajectory (212 steps to reach 1)

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

1,494,486 747,243 2,241,730 1,120,865 3,362,596 1,681,298 840,649 2,521,948 1,260,974 630,487 1,891,462 945,731 2,837,194 1,418,597 4,255,792 2,127,896 1,063,948 531,974 265,987 797,962 398,981 1,196,944 598,472 299,236 149,618 74,809 224,428 112,214 56,107 168,322 84,161 252,484 126,242 63,121 189,364 94,682 47,341 142,024 71,012 35,506 17,753 53,260 26,630 13,315 39,946 19,973 59,920 29,960 14,980 7,490 3,745 11,236 5,618 2,809 8,428 4,214 2,107 6,322 3,161 9,484

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