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Atlas › Integer Profiles › Node 8,312,975

8,312,975

52 × 11 × 19 × 37 × 43
Deficient Odd Composite

8,312,975 factors as 5^2 × 11 × 19 × 37 × 43. Its 48 positive divisors give a proper-divisor sum of 4,126,705, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 19 × 37 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,439,680
Proper Divisor Sum 4,126,705
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8312971 ← → #8312977

Radix Representation

Decimal 8312975
Binary 11111101101100010001111 (23 bits)
Octal 0o37554217
Hexadecimal 0x7ED88F

Divisor Catalog (48)

1 5 11 19 25 37 43 55 95 185 209 215 275 407 473 475 703 817 925 1,045 1,075 1,591 2,035 2,365 3,515 4,085 5,225 7,733 7,955 8,987 10,175 11,825 17,501 17,575 20,425 30,229 38,665 39,775 44,935 87,505 151,145 193,325 224,675 332,519 437,525 755,725 1,662,595 8,312,975

Collatz Trajectory (160 steps to reach 1)

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

8,312,975 24,938,926 12,469,463 37,408,390 18,704,195 56,112,586 28,056,293 84,168,880 42,084,440 21,042,220 10,521,110 5,260,555 15,781,666 7,890,833 23,672,500 11,836,250 5,918,125 17,754,376 8,877,188 4,438,594 2,219,297 6,657,892 3,328,946 1,664,473 4,993,420 2,496,710 1,248,355 3,745,066 1,872,533 5,617,600 2,808,800 1,404,400 702,200 351,100 175,550 87,775 263,326 131,663 394,990 197,495 592,486 296,243 888,730 444,365 1,333,096 666,548 333,274 166,637 499,912 249,956 124,978 62,489 187,468 93,734 46,867 140,602 70,301 210,904 105,452 52,726

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