λ
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70,871,920

24 × 5 × 7 × 271 × 467
Abundant Even Composite

70,871,920 factors as 2^4 × 5 × 7 × 271 × 467. Its 80 positive divisors give a proper-divisor sum of 118,544,528, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 271 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 189,416,448
Proper Divisor Sum 118,544,528
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #70871893 ← → #70871923

Radix Representation

Decimal 70871920
Binary 100001110010110101101110000 (27 bits)
Octal 0o416265560
Hexadecimal 0x4396B70

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 271 280 467 542 560 934 1,084 1,355 1,868 1,897 2,168 2,335 2,710 3,269 3,736 3,794 4,336 4,670 5,420 6,538 7,472 7,588 9,340 9,485 10,840 13,076 15,176 16,345 18,680 18,970 21,680 26,152 30,352 32,690 37,360 37,940 52,304 65,380 75,880 126,557 130,760 151,760

Collatz Trajectory (184 steps to reach 1)

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

70,871,920 35,435,960 17,717,980 8,858,990 4,429,495 13,288,486 6,644,243 19,932,730 9,966,365 29,899,096 14,949,548 7,474,774 3,737,387 11,212,162 5,606,081 16,818,244 8,409,122 4,204,561 12,613,684 6,306,842 3,153,421 9,460,264 4,730,132 2,365,066 1,182,533 3,547,600 1,773,800 886,900 443,450 221,725 665,176 332,588 166,294 83,147 249,442 124,721 374,164 187,082 93,541 280,624 140,312 70,156 35,078 17,539 52,618 26,309 78,928 39,464 19,732 9,866 4,933 14,800 7,400 3,700 1,850 925 2,776 1,388 694 347

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