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Atlas › Integer Profiles › Node 57,735,825

57,735,825

3 × 52 × 7 × 17 × 6469
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 17 × 6469
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 115,528,320
Proper Divisor Sum 57,792,495
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57735823 ← → #57735833

Radix Representation

Decimal 57735825
Binary 11011100001111101010010001 (26 bits)
Octal 0o334175221
Hexadecimal 0x370FA91

Divisor Catalog (48)

1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 1,275 1,785 2,975 6,469 8,925 19,407 32,345 45,283 97,035 109,973 135,849 161,725 226,415 329,919 485,175 549,865 679,245 769,811 1,132,075 1,649,595 2,309,433 2,749,325 3,396,225 3,849,055 8,247,975 11,547,165 19,245,275 57,735,825

Collatz Trajectory (207 steps to reach 1)

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

57,735,825 173,207,476 86,603,738 43,301,869 129,905,608 64,952,804 32,476,402 16,238,201 48,714,604 24,357,302 12,178,651 36,535,954 18,267,977 54,803,932 27,401,966 13,700,983 41,102,950 20,551,475 61,654,426 30,827,213 92,481,640 46,240,820 23,120,410 11,560,205 34,680,616 17,340,308 8,670,154 4,335,077 13,005,232 6,502,616 3,251,308 1,625,654 812,827 2,438,482 1,219,241 3,657,724 1,828,862 914,431 2,743,294 1,371,647 4,114,942 2,057,471 6,172,414 3,086,207 9,258,622 4,629,311 13,887,934 6,943,967 20,831,902 10,415,951 31,247,854 15,623,927 46,871,782 23,435,891 70,307,674 35,153,837 105,461,512 52,730,756 26,365,378 13,182,689

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