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Atlas › Integer Profiles › Node 59,080,307

59,080,307

112 × 13 × 232 × 71
Deficient Odd Composite

Prime Factor Structure

Factorization String 11^2 × 13 × 23^2 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 74,137,392
Proper Divisor Sum 15,057,085
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #59080297 ← → #59080309

Radix Representation

Decimal 59080307
Binary 11100001010111111001110011 (26 bits)
Octal 0o341277163
Hexadecimal 0x3857E73

Divisor Catalog (36)

1 11 13 23 71 121 143 253 299 529 781 923 1,573 1,633 2,783 3,289 5,819 6,877 8,591 10,153 17,963 21,229 36,179 37,559 64,009 75,647 111,683 197,593 233,519 413,149 488,267 832,117 2,568,709 4,544,639 5,370,937 59,080,307

Collatz Trajectory (238 steps to reach 1)

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

59,080,307 177,240,922 88,620,461 265,861,384 132,930,692 66,465,346 33,232,673 99,698,020 49,849,010 24,924,505 74,773,516 37,386,758 18,693,379 56,080,138 28,040,069 84,120,208 42,060,104 21,030,052 10,515,026 5,257,513 15,772,540 7,886,270 3,943,135 11,829,406 5,914,703 17,744,110 8,872,055 26,616,166 13,308,083 39,924,250 19,962,125 59,886,376 29,943,188 14,971,594 7,485,797 22,457,392 11,228,696 5,614,348 2,807,174 1,403,587 4,210,762 2,105,381 6,316,144 3,158,072 1,579,036 789,518 394,759 1,184,278 592,139 1,776,418 888,209 2,664,628 1,332,314 666,157 1,998,472 999,236 499,618 249,809 749,428 374,714

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