λ
Math Directory

7,834,607

11 × 712237
Deficient Odd Composite

7,834,607 factors as 11 × 712237. Its 4 positive divisors give a proper-divisor sum of 712,249, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 11 × 712237
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,546,856
Proper Divisor Sum 712,249
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7834597 ← → #7834621

Radix Representation

Decimal 7834607
Binary 11101111000101111101111 (23 bits)
Octal 0o35705757
Hexadecimal 0x778BEF

Divisor Catalog (4)

1 11 712,237 7,834,607

Collatz Trajectory (155 steps to reach 1)

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

7,834,607 23,503,822 11,751,911 35,255,734 17,627,867 52,883,602 26,441,801 79,325,404 39,662,702 19,831,351 59,494,054 29,747,027 89,241,082 44,620,541 133,861,624 66,930,812 33,465,406 16,732,703 50,198,110 25,099,055 75,297,166 37,648,583 112,945,750 56,472,875 169,418,626 84,709,313 254,127,940 127,063,970 63,531,985 190,595,956 95,297,978 47,648,989 142,946,968 71,473,484 35,736,742 17,868,371 53,605,114 26,802,557 80,407,672 40,203,836 20,101,918 10,050,959 30,152,878 15,076,439 45,229,318 22,614,659 67,843,978 33,921,989 101,765,968 50,882,984 25,441,492 12,720,746 6,360,373 19,081,120 9,540,560 4,770,280 2,385,140 1,192,570 596,285 1,788,856

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