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Atlas › Integer Profiles › Node 7,811,482

7,811,482

2 × 73 × 59 × 193
Deficient Even Composite

7,811,482 factors as 2 × 7^3 × 59 × 193. Its 32 positive divisors give a proper-divisor sum of 6,156,518, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 59 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,968,000
Proper Divisor Sum 6,156,518
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7811437 ← → #7811497

Radix Representation

Decimal 7811482
Binary 11101110011000110011010 (23 bits)
Octal 0o35630632
Hexadecimal 0x77319A

Divisor Catalog (32)

1 2 7 14 49 59 98 118 193 343 386 413 686 826 1,351 2,702 2,891 5,782 9,457 11,387 18,914 20,237 22,774 40,474 66,199 79,709 132,398 159,418 557,963 1,115,926 3,905,741 7,811,482

Collatz Trajectory (67 steps to reach 1)

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

7,811,482 3,905,741 11,717,224 5,858,612 2,929,306 1,464,653 4,393,960 2,196,980 1,098,490 549,245 1,647,736 823,868 411,934 205,967 617,902 308,951 926,854 463,427 1,390,282 695,141 2,085,424 1,042,712 521,356 260,678 130,339 391,018 195,509 586,528 293,264 146,632 73,316 36,658 18,329 54,988 27,494 13,747 41,242 20,621 61,864 30,932 15,466 7,733 23,200 11,600 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52 26 13 40

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