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Atlas › Integer Profiles › Node 65,317,420

65,317,420

22 × 5 × 7 × 466553
Abundant Even Composite

65,317,420 factors as 2^2 × 5 × 7 × 466553. Its 24 positive divisors give a proper-divisor sum of 91,444,724, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 466553
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 156,762,144
Proper Divisor Sum 91,444,724
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #65317411 ← → #65317433

Radix Representation

Decimal 65317420
Binary 11111001001010101000101100 (26 bits)
Octal 0o371125054
Hexadecimal 0x3E4AA2C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 466,553 933,106 1,866,212 2,332,765 3,265,871 4,665,530 6,531,742 9,331,060 13,063,484 16,329,355 32,658,710 65,317,420

Collatz Trajectory (127 steps to reach 1)

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

65,317,420 32,658,710 16,329,355 48,988,066 24,494,033 73,482,100 36,741,050 18,370,525 55,111,576 27,555,788 13,777,894 6,888,947 20,666,842 10,333,421 31,000,264 15,500,132 7,750,066 3,875,033 11,625,100 5,812,550 2,906,275 8,718,826 4,359,413 13,078,240 6,539,120 3,269,560 1,634,780 817,390 408,695 1,226,086 613,043 1,839,130 919,565 2,758,696 1,379,348 689,674 344,837 1,034,512 517,256 258,628 129,314 64,657 193,972 96,986 48,493 145,480 72,740 36,370 18,185 54,556 27,278 13,639 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052

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