7,162,470

2 × 3² × 5 × 7 × 11369

7,162,470 has digital root 9. The neighboring primes are 7162469 and 7162513; its proper-divisor sum differs from the starting integer by 6,959,700.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 11369

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,284,640

Proper Divisor Sum 14,122,170

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7162469 ← → #7162513

Radix Representation

Decimal	7162470
Binary	11011010100101001100110 (23 bits)
Octal	0o33245146
Hexadecimal	0x6D4A66

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 11,369 22,738 34,107 56,845 68,214 79,583 102,321 113,690 159,166 170,535 204,642 238,749 341,070 397,915 477,498 511,605 716,247 795,830 1,023,210 1,193,745 1,432,494 2,387,490 3,581,235 7,162,470

Collatz Trajectory (98 steps to reach 1)

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

7,162,470 3,581,235 10,743,706 5,371,853 16,115,560 8,057,780 4,028,890 2,014,445 6,043,336 3,021,668 1,510,834 755,417 2,266,252 1,133,126 566,563 1,699,690 849,845 2,549,536 1,274,768 637,384 318,692 159,346 79,673 239,020 119,510 59,755 179,266 89,633 268,900 134,450 67,225 201,676 100,838 50,419 151,258 75,629 226,888 113,444 56,722 28,361 85,084 42,542 21,271 63,814 31,907 95,722 47,861 143,584 71,792 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573

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