λ
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Atlas › Integer Profiles › Node 70,689,550

70,689,550

2 × 52 × 73 × 107 × 181
Deficient Even Composite

70,689,550 factors as 2 × 5^2 × 73 × 107 × 181. Its 48 positive divisors give a proper-divisor sum of 64,583,042, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 73 × 107 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 135,272,592
Proper Divisor Sum 64,583,042
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #70689547 ← → #70689589

Radix Representation

Decimal 70689550
Binary 100001101101010001100001110 (27 bits)
Octal 0o415521416
Hexadecimal 0x436A30E

Divisor Catalog (48)

1 2 5 10 25 50 73 107 146 181 214 362 365 535 730 905 1,070 1,810 1,825 2,675 3,650 4,525 5,350 7,811 9,050 13,213 15,622 19,367 26,426 38,734 39,055 66,065 78,110 96,835 132,130 193,670 195,275 330,325 390,550 484,175 660,650 968,350 1,413,791 2,827,582 7,068,955 14,137,910 35,344,775 70,689,550

Collatz Trajectory (91 steps to reach 1)

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

70,689,550 35,344,775 106,034,326 53,017,163 159,051,490 79,525,745 238,577,236 119,288,618 59,644,309 178,932,928 89,466,464 44,733,232 22,366,616 11,183,308 5,591,654 2,795,827 8,387,482 4,193,741 12,581,224 6,290,612 3,145,306 1,572,653 4,717,960 2,358,980 1,179,490 589,745 1,769,236 884,618 442,309 1,326,928 663,464 331,732 165,866 82,933 248,800 124,400 62,200 31,100 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346

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