λ
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Atlas › Integer Profiles › Node 29,487,535

29,487,535

5 × 7 × 11 × 191 × 401
Deficient Odd Composite

29,487,535 factors as 5 × 7 × 11 × 191 × 401. Its 32 positive divisors give a proper-divisor sum of 14,970,449, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 191 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 44,457,984
Proper Divisor Sum 14,970,449
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #29487533 ← → #29487539

Radix Representation

Decimal 29487535
Binary 1110000011111000110101111 (25 bits)
Octal 0o160370657
Hexadecimal 0x1C1F1AF

Divisor Catalog (32)

1 5 7 11 35 55 77 191 385 401 955 1,337 2,005 2,101 2,807 4,411 6,685 10,505 14,035 14,707 22,055 30,877 73,535 76,591 154,385 382,955 536,137 842,501 2,680,685 4,212,505 5,897,507 29,487,535

Collatz Trajectory (87 steps to reach 1)

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

29,487,535 88,462,606 44,231,303 132,693,910 66,346,955 199,040,866 99,520,433 298,561,300 149,280,650 74,640,325 223,920,976 111,960,488 55,980,244 27,990,122 13,995,061 41,985,184 20,992,592 10,496,296 5,248,148 2,624,074 1,312,037 3,936,112 1,968,056 984,028 492,014 246,007 738,022 369,011 1,107,034 553,517 1,660,552 830,276 415,138 207,569 622,708 311,354 155,677 467,032 233,516 116,758 58,379 175,138 87,569 262,708 131,354 65,677 197,032 98,516 49,258 24,629 73,888 36,944 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866

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