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Atlas › Integer Profiles › Node 6,690,100

6,690,100

22 × 52 × 149 × 449
Abundant Even Composite

6,690,100 factors as 2^2 × 5^2 × 149 × 449. Its 36 positive divisors give a proper-divisor sum of 7,957,400, so this integer is abundant. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 149 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,647,500
Proper Divisor Sum 7,957,400
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6690067 ← → #6690107

Radix Representation

Decimal 6690100
Binary 11001100001010100110100 (23 bits)
Octal 0o31412464
Hexadecimal 0x661534

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 149 298 449 596 745 898 1,490 1,796 2,245 2,980 3,725 4,490 7,450 8,980 11,225 14,900 22,450 44,900 66,901 133,802 267,604 334,505 669,010 1,338,020 1,672,525 3,345,050 6,690,100

Collatz Trajectory (284 steps to reach 1)

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

6,690,100 3,345,050 1,672,525 5,017,576 2,508,788 1,254,394 627,197 1,881,592 940,796 470,398 235,199 705,598 352,799 1,058,398 529,199 1,587,598 793,799 2,381,398 1,190,699 3,572,098 1,786,049 5,358,148 2,679,074 1,339,537 4,018,612 2,009,306 1,004,653 3,013,960 1,506,980 753,490 376,745 1,130,236 565,118 282,559 847,678 423,839 1,271,518 635,759 1,907,278 953,639 2,860,918 1,430,459 4,291,378 2,145,689 6,437,068 3,218,534 1,609,267 4,827,802 2,413,901 7,241,704 3,620,852 1,810,426 905,213 2,715,640 1,357,820 678,910 339,455 1,018,366 509,183 1,527,550

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