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Atlas › Integer Profiles › Node 10,502,920

10,502,920

23 × 5 × 67 × 3919
Abundant Even Composite

10,502,920 factors as 2^3 × 5 × 67 × 3919. Its 32 positive divisors give a proper-divisor sum of 13,487,480, so this integer is abundant. The Collatz stopping time is 264 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 67 × 3919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,990,400
Proper Divisor Sum 13,487,480
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #10502917 ← → #10502951

Radix Representation

Decimal 10502920
Binary 101000000100001100001000 (24 bits)
Octal 0o50041410
Hexadecimal 0xA04308

Divisor Catalog (32)

1 2 4 5 8 10 20 40 67 134 268 335 536 670 1,340 2,680 3,919 7,838 15,676 19,595 31,352 39,190 78,380 156,760 262,573 525,146 1,050,292 1,312,865 2,100,584 2,625,730 5,251,460 10,502,920

Collatz Trajectory (264 steps to reach 1)

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

10,502,920 5,251,460 2,625,730 1,312,865 3,938,596 1,969,298 984,649 2,953,948 1,476,974 738,487 2,215,462 1,107,731 3,323,194 1,661,597 4,984,792 2,492,396 1,246,198 623,099 1,869,298 934,649 2,803,948 1,401,974 700,987 2,102,962 1,051,481 3,154,444 1,577,222 788,611 2,365,834 1,182,917 3,548,752 1,774,376 887,188 443,594 221,797 665,392 332,696 166,348 83,174 41,587 124,762 62,381 187,144 93,572 46,786 23,393 70,180 35,090 17,545 52,636 26,318 13,159 39,478 19,739 59,218 29,609 88,828 44,414 22,207 66,622

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