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Atlas › Integer Profiles › Node 59,778,280

59,778,280

23 × 5 × 292 × 1777
Abundant Even Composite

59,778,280 factors as 2^3 × 5 × 29^2 × 1777. Its 48 positive divisors give a proper-divisor sum of 79,599,140, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 29^2 × 1777
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 139,377,420
Proper Divisor Sum 79,599,140
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #59778263 ← → #59778281

Radix Representation

Decimal 59778280
Binary 11100100000010010011101000 (26 bits)
Octal 0o344022350
Hexadecimal 0x39024E8

Divisor Catalog (48)

1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1,160 1,682 1,777 3,364 3,554 4,205 6,728 7,108 8,410 8,885 14,216 16,820 17,770 33,640 35,540 51,533 71,080 103,066 206,132 257,665 412,264 515,330 1,030,660 1,494,457 2,061,320 2,988,914 5,977,828 7,472,285 11,955,656 14,944,570 29,889,140 59,778,280

Collatz Trajectory (145 steps to reach 1)

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

59,778,280 29,889,140 14,944,570 7,472,285 22,416,856 11,208,428 5,604,214 2,802,107 8,406,322 4,203,161 12,609,484 6,304,742 3,152,371 9,457,114 4,728,557 14,185,672 7,092,836 3,546,418 1,773,209 5,319,628 2,659,814 1,329,907 3,989,722 1,994,861 5,984,584 2,992,292 1,496,146 748,073 2,244,220 1,122,110 561,055 1,683,166 841,583 2,524,750 1,262,375 3,787,126 1,893,563 5,680,690 2,840,345 8,521,036 4,260,518 2,130,259 6,390,778 3,195,389 9,586,168 4,793,084 2,396,542 1,198,271 3,594,814 1,797,407 5,392,222 2,696,111 8,088,334 4,044,167 12,132,502 6,066,251 18,198,754 9,099,377 27,298,132 13,649,066

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