7,140,770

2 × 5 × 7² × 13 × 19 × 59

7,140,770 factors as 2 × 5 × 7^2 × 13 × 19 × 59. Its 96 positive divisors give a proper-divisor sum of 10,096,030, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 13 × 19 × 59

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 17,236,800

Proper Divisor Sum 10,096,030

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7140769 ← → #7140779

Radix Representation

Decimal	7140770
Binary	11011001111010110100010 (23 bits)
Octal	0o33172642
Hexadecimal	0x6CF5A2

Divisor Catalog (60 of 96)

1 2 5 7 10 13 14 19 26 35 38 49 59 65 70 91 95 98 118 130 133 182 190 245 247 266 295 413 455 490 494 590 637 665 767 826 910 931 1,121 1,235 1,274 1,330 1,534 1,729 1,862 2,065 2,242 2,470 2,891 3,185 3,458 3,835 4,130 4,655 5,369 5,605 5,782 6,370 7,670 7,847

Collatz Trajectory (147 steps to reach 1)

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

7,140,770 3,570,385 10,711,156 5,355,578 2,677,789 8,033,368 4,016,684 2,008,342 1,004,171 3,012,514 1,506,257 4,518,772 2,259,386 1,129,693 3,389,080 1,694,540 847,270 423,635 1,270,906 635,453 1,906,360 953,180 476,590 238,295 714,886 357,443 1,072,330 536,165 1,608,496 804,248 402,124 201,062 100,531 301,594 150,797 452,392 226,196 113,098 56,549 169,648 84,824 42,412 21,206 10,603 31,810 15,905 47,716 23,858 11,929 35,788 17,894 8,947 26,842 13,421 40,264 20,132 10,066 5,033 15,100 7,550

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