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Atlas › Integer Profiles › Node 66,076,752

66,076,752

24 × 3 × 7 × 196657
Abundant Even Composite

66,076,752 factors as 2^4 × 3 × 7 × 196657. Its 40 positive divisors give a proper-divisor sum of 129,007,984, so this integer is abundant. The Collatz stopping time is 202 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 196657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 195,084,736
Proper Divisor Sum 129,007,984
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #66076741 ← → #66076763

Radix Representation

Decimal 66076752
Binary 11111100000100000001010000 (26 bits)
Octal 0o374040120
Hexadecimal 0x3F04050

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 196,657 393,314 589,971 786,628 1,179,942 1,376,599 1,573,256 2,359,884 2,753,198 3,146,512 4,129,797 4,719,768 5,506,396 8,259,594 9,439,536 11,012,792 16,519,188 22,025,584 33,038,376 66,076,752

Collatz Trajectory (202 steps to reach 1)

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

66,076,752 33,038,376 16,519,188 8,259,594 4,129,797 12,389,392 6,194,696 3,097,348 1,548,674 774,337 2,323,012 1,161,506 580,753 1,742,260 871,130 435,565 1,306,696 653,348 326,674 163,337 490,012 245,006 122,503 367,510 183,755 551,266 275,633 826,900 413,450 206,725 620,176 310,088 155,044 77,522 38,761 116,284 58,142 29,071 87,214 43,607 130,822 65,411 196,234 98,117 294,352 147,176 73,588 36,794 18,397 55,192 27,596 13,798 6,899 20,698 10,349 31,048 15,524 7,762 3,881 11,644

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