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Atlas › Integer Profiles › Node 57,765,225

57,765,225

3 × 52 × 7 × 19 × 5791
Deficient Odd Composite

57,765,225 factors as 3 × 5^2 × 7 × 19 × 5791. Its 48 positive divisors give a proper-divisor sum of 57,148,055, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 19 × 5791
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 114,913,280
Proper Divisor Sum 57,148,055
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57765223 ← → #57765229

Radix Representation

Decimal 57765225
Binary 11011100010110110101101001 (26 bits)
Octal 0o334266551
Hexadecimal 0x3716D69

Divisor Catalog (48)

1 3 5 7 15 19 21 25 35 57 75 95 105 133 175 285 399 475 525 665 1,425 1,995 3,325 5,791 9,975 17,373 28,955 40,537 86,865 110,029 121,611 144,775 202,685 330,087 434,325 550,145 608,055 770,203 1,013,425 1,650,435 2,310,609 2,750,725 3,040,275 3,851,015 8,252,175 11,553,045 19,255,075 57,765,225

Collatz Trajectory (145 steps to reach 1)

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

57,765,225 173,295,676 86,647,838 43,323,919 129,971,758 64,985,879 194,957,638 97,478,819 292,436,458 146,218,229 438,654,688 219,327,344 109,663,672 54,831,836 27,415,918 13,707,959 41,123,878 20,561,939 61,685,818 30,842,909 92,528,728 46,264,364 23,132,182 11,566,091 34,698,274 17,349,137 52,047,412 26,023,706 13,011,853 39,035,560 19,517,780 9,758,890 4,879,445 14,638,336 7,319,168 3,659,584 1,829,792 914,896 457,448 228,724 114,362 57,181 171,544 85,772 42,886 21,443 64,330 32,165 96,496 48,248 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072

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