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Atlas › Integer Profiles › Node 29,804,380

29,804,380

22 × 5 × 71 × 139 × 151
Abundant Even Composite

29,804,380 factors as 2^2 × 5 × 71 × 139 × 151. Its 48 positive divisors give a proper-divisor sum of 34,546,340, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 71 × 139 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 64,350,720
Proper Divisor Sum 34,546,340
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #29804377 ← → #29804413

Radix Representation

Decimal 29804380
Binary 1110001101100011101011100 (25 bits)
Octal 0o161543534
Hexadecimal 0x1C6C75C

Divisor Catalog (48)

1 2 4 5 10 20 71 139 142 151 278 284 302 355 556 604 695 710 755 1,390 1,420 1,510 2,780 3,020 9,869 10,721 19,738 20,989 21,442 39,476 41,978 42,884 49,345 53,605 83,956 98,690 104,945 107,210 197,380 209,890 214,420 419,780 1,490,219 2,980,438 5,960,876 7,451,095 14,902,190 29,804,380

Collatz Trajectory (175 steps to reach 1)

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

29,804,380 14,902,190 7,451,095 22,353,286 11,176,643 33,529,930 16,764,965 50,294,896 25,147,448 12,573,724 6,286,862 3,143,431 9,430,294 4,715,147 14,145,442 7,072,721 21,218,164 10,609,082 5,304,541 15,913,624 7,956,812 3,978,406 1,989,203 5,967,610 2,983,805 8,951,416 4,475,708 2,237,854 1,118,927 3,356,782 1,678,391 5,035,174 2,517,587 7,552,762 3,776,381 11,329,144 5,664,572 2,832,286 1,416,143 4,248,430 2,124,215 6,372,646 3,186,323 9,558,970 4,779,485 14,338,456 7,169,228 3,584,614 1,792,307 5,376,922 2,688,461 8,065,384 4,032,692 2,016,346 1,008,173 3,024,520 1,512,260 756,130 378,065 1,134,196

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