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Atlas › Integer Profiles › Node 29,909,596

29,909,596

22 × 17 × 43 × 53 × 193
Deficient Even Composite

29,909,596 factors as 2^2 × 17 × 43 × 53 × 193. Its 48 positive divisors give a proper-divisor sum of 28,169,348, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 43 × 53 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 58,078,944
Proper Divisor Sum 28,169,348
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #29909587 ← → #29909597

Radix Representation

Decimal 29909596
Binary 1110010000110001001011100 (25 bits)
Octal 0o162061134
Hexadecimal 0x1C8625C

Divisor Catalog (48)

1 2 4 17 34 43 53 68 86 106 172 193 212 386 731 772 901 1,462 1,802 2,279 2,924 3,281 3,604 4,558 6,562 8,299 9,116 10,229 13,124 16,598 20,458 33,196 38,743 40,916 77,486 141,083 154,972 173,893 282,166 347,786 439,847 564,332 695,572 879,694 1,759,388 7,477,399 14,954,798 29,909,596

Collatz Trajectory (175 steps to reach 1)

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

29,909,596 14,954,798 7,477,399 22,432,198 11,216,099 33,648,298 16,824,149 50,472,448 25,236,224 12,618,112 6,309,056 3,154,528 1,577,264 788,632 394,316 197,158 98,579 295,738 147,869 443,608 221,804 110,902 55,451 166,354 83,177 249,532 124,766 62,383 187,150 93,575 280,726 140,363 421,090 210,545 631,636 315,818 157,909 473,728 236,864 118,432 59,216 29,608 14,804 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881

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