λ
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1,627,010

2 × 5 × 7 × 11 × 2113
Abundant Even Composite

1,627,010 factors as 2 × 5 × 7 × 11 × 2113. Its 32 positive divisors give a proper-divisor sum of 2,025,982, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 2113
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,652,992
Proper Divisor Sum 2,025,982
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1627007 ← → #1627013

Radix Representation

Decimal 1627010
Binary 110001101001110000010 (21 bits)
Octal 0o6151602
Hexadecimal 0x18D382

Divisor Catalog (32)

1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 2,113 4,226 10,565 14,791 21,130 23,243 29,582 46,486 73,955 116,215 147,910 162,701 232,430 325,402 813,505 1,627,010

Collatz Trajectory (114 steps to reach 1)

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

1,627,010 813,505 2,440,516 1,220,258 610,129 1,830,388 915,194 457,597 1,372,792 686,396 343,198 171,599 514,798 257,399 772,198 386,099 1,158,298 579,149 1,737,448 868,724 434,362 217,181 651,544 325,772 162,886 81,443 244,330 122,165 366,496 183,248 91,624 45,812 22,906 11,453 34,360 17,180 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721

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