λ
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Atlas › Integer Profiles › Node 74,020,276

74,020,276

22 × 11 × 19 × 37 × 2393
Abundant Even Composite

74,020,276 factors as 2^2 × 11 × 19 × 37 × 2393. Its 48 positive divisors give a proper-divisor sum of 78,812,684, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 37 × 2393
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 152,832,960
Proper Divisor Sum 78,812,684
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #74020237 ← → #74020283

Radix Representation

Decimal 74020276
Binary 100011010010111010110110100 (27 bits)
Octal 0o432272664
Hexadecimal 0x46975B4

Divisor Catalog (48)

1 2 4 11 19 22 37 38 44 74 76 148 209 407 418 703 814 836 1,406 1,628 2,393 2,812 4,786 7,733 9,572 15,466 26,323 30,932 45,467 52,646 88,541 90,934 105,292 177,082 181,868 354,164 500,137 973,951 1,000,274 1,682,279 1,947,902 2,000,548 3,364,558 3,895,804 6,729,116 18,505,069 37,010,138 74,020,276

Collatz Trajectory (197 steps to reach 1)

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

74,020,276 37,010,138 18,505,069 55,515,208 27,757,604 13,878,802 6,939,401 20,818,204 10,409,102 5,204,551 15,613,654 7,806,827 23,420,482 11,710,241 35,130,724 17,565,362 8,782,681 26,348,044 13,174,022 6,587,011 19,761,034 9,880,517 29,641,552 14,820,776 7,410,388 3,705,194 1,852,597 5,557,792 2,778,896 1,389,448 694,724 347,362 173,681 521,044 260,522 130,261 390,784 195,392 97,696 48,848 24,424 12,212 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177

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