42,415,467

3 × 19 × 757 × 983

42,415,467 factors as 3 × 19 × 757 × 983. Its 16 positive divisors give a proper-divisor sum of 17,254,293, so this integer is deficient. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 3 × 19 × 757 × 983

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 59,669,760

Proper Divisor Sum 17,254,293

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #42415441 ← → #42415469

Radix Representation

Decimal	42415467
Binary	10100001110011010101101011 (26 bits)
Octal	0o241632553
Hexadecimal	0x287356B

Divisor Catalog (16)

1 3 19 57 757 983 2,271 2,949 14,383 18,677 43,149 56,031 744,131 2,232,393 14,138,489 42,415,467

Collatz Trajectory (253 steps to reach 1)

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

42,415,467 127,246,402 63,623,201 190,869,604 95,434,802 47,717,401 143,152,204 71,576,102 35,788,051 107,364,154 53,682,077 161,046,232 80,523,116 40,261,558 20,130,779 60,392,338 30,196,169 90,588,508 45,294,254 22,647,127 67,941,382 33,970,691 101,912,074 50,956,037 152,868,112 76,434,056 38,217,028 19,108,514 9,554,257 28,662,772 14,331,386 7,165,693 21,497,080 10,748,540 5,374,270 2,687,135 8,061,406 4,030,703 12,092,110 6,046,055 18,138,166 9,069,083 27,207,250 13,603,625 40,810,876 20,405,438 10,202,719 30,608,158 15,304,079 45,912,238 22,956,119 68,868,358 34,434,179 103,302,538 51,651,269 154,953,808 77,476,904 38,738,452 19,369,226 9,684,613

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