7,182,020

2² × 5 × 359101

7,182,020 factors as 2^2 × 5 × 359101. Its 12 positive divisors give a proper-divisor sum of 7,900,264, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 359101

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,082,284

Proper Divisor Sum 7,900,264

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7182001 ← → #7182047

Radix Representation

Decimal	7182020
Binary	11011011001011011000100 (23 bits)
Octal	0o33313304
Hexadecimal	0x6D96C4

Divisor Catalog (12)

1 2 4 5 10 20 359,101 718,202 1,436,404 1,795,505 3,591,010 7,182,020

Collatz Trajectory (191 steps to reach 1)

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

7,182,020 3,591,010 1,795,505 5,386,516 2,693,258 1,346,629 4,039,888 2,019,944 1,009,972 504,986 252,493 757,480 378,740 189,370 94,685 284,056 142,028 71,014 35,507 106,522 53,261 159,784 79,892 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 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612

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