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Atlas › Integer Profiles › Node 4,093,495

4,093,495

5 × 7 × 29 × 37 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 29 × 37 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,019,200
Proper Divisor Sum 1,925,705
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4093489 ← → #4093501

Radix Representation

Decimal 4093495
Binary 1111100111011000110111 (22 bits)
Octal 0o17473067
Hexadecimal 0x3E7637

Divisor Catalog (32)

1 5 7 29 35 37 109 145 185 203 259 545 763 1,015 1,073 1,295 3,161 3,815 4,033 5,365 7,511 15,805 20,165 22,127 28,231 37,555 110,635 116,957 141,155 584,785 818,699 4,093,495

Collatz Trajectory (216 steps to reach 1)

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

4,093,495 12,280,486 6,140,243 18,420,730 9,210,365 27,631,096 13,815,548 6,907,774 3,453,887 10,361,662 5,180,831 15,542,494 7,771,247 23,313,742 11,656,871 34,970,614 17,485,307 52,455,922 26,227,961 78,683,884 39,341,942 19,670,971 59,012,914 29,506,457 88,519,372 44,259,686 22,129,843 66,389,530 33,194,765 99,584,296 49,792,148 24,896,074 12,448,037 37,344,112 18,672,056 9,336,028 4,668,014 2,334,007 7,002,022 3,501,011 10,503,034 5,251,517 15,754,552 7,877,276 3,938,638 1,969,319 5,907,958 2,953,979 8,861,938 4,430,969 13,292,908 6,646,454 3,323,227 9,969,682 4,984,841 14,954,524 7,477,262 3,738,631 11,215,894 5,607,947

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