λ
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Atlas › Integer Profiles › Node 7,053,495

7,053,495

3 × 5 × 37 × 71 × 179
Deficient Odd Composite

7,053,495 factors as 3 × 5 × 37 × 71 × 179. Its 32 positive divisors give a proper-divisor sum of 4,766,025, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 71 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,819,520
Proper Divisor Sum 4,766,025
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7053493 ← → #7053533

Radix Representation

Decimal 7053495
Binary 11010111010000010110111 (23 bits)
Octal 0o32720267
Hexadecimal 0x6BA0B7

Divisor Catalog (32)

1 3 5 15 37 71 111 179 185 213 355 537 555 895 1,065 2,627 2,685 6,623 7,881 12,709 13,135 19,869 33,115 38,127 39,405 63,545 99,345 190,635 470,233 1,410,699 2,351,165 7,053,495

Collatz Trajectory (129 steps to reach 1)

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

7,053,495 21,160,486 10,580,243 31,740,730 15,870,365 47,611,096 23,805,548 11,902,774 5,951,387 17,854,162 8,927,081 26,781,244 13,390,622 6,695,311 20,085,934 10,042,967 30,128,902 15,064,451 45,193,354 22,596,677 67,790,032 33,895,016 16,947,508 8,473,754 4,236,877 12,710,632 6,355,316 3,177,658 1,588,829 4,766,488 2,383,244 1,191,622 595,811 1,787,434 893,717 2,681,152 1,340,576 670,288 335,144 167,572 83,786 41,893 125,680 62,840 31,420 15,710 7,855 23,566 11,783 35,350 17,675 53,026 26,513 79,540 39,770 19,885 59,656 29,828 14,914 7,457

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