λ
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Atlas › Integer Profiles › Node 7,018,456

7,018,456

23 × 37 × 131 × 181
Deficient Even Composite

7,018,456 factors as 2^3 × 37 × 131 × 181. Its 32 positive divisors give a proper-divisor sum of 6,675,224, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 131 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,693,680
Proper Divisor Sum 6,675,224
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7018447 ← → #7018457

Radix Representation

Decimal 7018456
Binary 11010110001011111011000 (23 bits)
Octal 0o32613730
Hexadecimal 0x6B17D8

Divisor Catalog (32)

1 2 4 8 37 74 131 148 181 262 296 362 524 724 1,048 1,448 4,847 6,697 9,694 13,394 19,388 23,711 26,788 38,776 47,422 53,576 94,844 189,688 877,307 1,754,614 3,509,228 7,018,456

Collatz Trajectory (129 steps to reach 1)

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

7,018,456 3,509,228 1,754,614 877,307 2,631,922 1,315,961 3,947,884 1,973,942 986,971 2,960,914 1,480,457 4,441,372 2,220,686 1,110,343 3,331,030 1,665,515 4,996,546 2,498,273 7,494,820 3,747,410 1,873,705 5,621,116 2,810,558 1,405,279 4,215,838 2,107,919 6,323,758 3,161,879 9,485,638 4,742,819 14,228,458 7,114,229 21,342,688 10,671,344 5,335,672 2,667,836 1,333,918 666,959 2,000,878 1,000,439 3,001,318 1,500,659 4,501,978 2,250,989 6,752,968 3,376,484 1,688,242 844,121 2,532,364 1,266,182 633,091 1,899,274 949,637 2,848,912 1,424,456 712,228 356,114 178,057 534,172 267,086

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