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Atlas › Integer Profiles › Node 7,904,090

7,904,090

2 × 5 × 83 × 89 × 107
Deficient Even Composite

7,904,090 factors as 2 × 5 × 83 × 89 × 107. Its 32 positive divisors give a proper-divisor sum of 6,792,550, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 5 × 83 × 89 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,696,640
Proper Divisor Sum 6,792,550
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7904087 ← → #7904093

Radix Representation

Decimal 7904090
Binary 11110001001101101011010 (23 bits)
Octal 0o36115532
Hexadecimal 0x789B5A

Divisor Catalog (32)

1 2 5 10 83 89 107 166 178 214 415 445 535 830 890 1,070 7,387 8,881 9,523 14,774 17,762 19,046 36,935 44,405 47,615 73,870 88,810 95,230 790,409 1,580,818 3,952,045 7,904,090

Collatz Trajectory (186 steps to reach 1)

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

7,904,090 3,952,045 11,856,136 5,928,068 2,964,034 1,482,017 4,446,052 2,223,026 1,111,513 3,334,540 1,667,270 833,635 2,500,906 1,250,453 3,751,360 1,875,680 937,840 468,920 234,460 117,230 58,615 175,846 87,923 263,770 131,885 395,656 197,828 98,914 49,457 148,372 74,186 37,093 111,280 55,640 27,820 13,910 6,955 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394

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