λ
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Atlas › Integer Profiles › Node 4,635,213

4,635,213

3 × 11 × 23 × 31 × 197
Deficient Odd Composite

4,635,213 factors as 3 × 11 × 23 × 31 × 197. Its 32 positive divisors give a proper-divisor sum of 2,663,859, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3 × 11 × 23 × 31 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,299,072
Proper Divisor Sum 2,663,859
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4635181 ← → #4635223

Radix Representation

Decimal 4635213
Binary 10001101011101001001101 (23 bits)
Octal 0o21535115
Hexadecimal 0x46BA4D

Divisor Catalog (32)

1 3 11 23 31 33 69 93 197 253 341 591 713 759 1,023 2,139 2,167 4,531 6,107 6,501 7,843 13,593 18,321 23,529 49,841 67,177 140,461 149,523 201,531 421,383 1,545,071 4,635,213

Collatz Trajectory (100 steps to reach 1)

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

4,635,213 13,905,640 6,952,820 3,476,410 1,738,205 5,214,616 2,607,308 1,303,654 651,827 1,955,482 977,741 2,933,224 1,466,612 733,306 366,653 1,099,960 549,980 274,990 137,495 412,486 206,243 618,730 309,365 928,096 464,048 232,024 116,012 58,006 29,003 87,010 43,505 130,516 65,258 32,629 97,888 48,944 24,472 12,236 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818

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