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Atlas › Integer Profiles › Node 35,201,397

35,201,397

3 × 7 × 11 × 97 × 1571
Deficient Odd Composite

35,201,397 factors as 3 × 7 × 11 × 97 × 1571. Its 32 positive divisors give a proper-divisor sum of 23,956,107, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 97 × 1571
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 59,157,504
Proper Divisor Sum 23,956,107
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #35201377 ← → #35201401

Radix Representation

Decimal 35201397
Binary 10000110010010000101110101 (26 bits)
Octal 0o206220565
Hexadecimal 0x2192175

Divisor Catalog (32)

1 3 7 11 21 33 77 97 231 291 679 1,067 1,571 2,037 3,201 4,713 7,469 10,997 17,281 22,407 32,991 51,843 120,967 152,387 362,901 457,161 1,066,709 1,676,257 3,200,127 5,028,771 11,733,799 35,201,397

Collatz Trajectory (95 steps to reach 1)

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

35,201,397 105,604,192 52,802,096 26,401,048 13,200,524 6,600,262 3,300,131 9,900,394 4,950,197 14,850,592 7,425,296 3,712,648 1,856,324 928,162 464,081 1,392,244 696,122 348,061 1,044,184 522,092 261,046 130,523 391,570 195,785 587,356 293,678 146,839 440,518 220,259 660,778 330,389 991,168 495,584 247,792 123,896 61,948 30,974 15,487 46,462 23,231 69,694 34,847 104,542 52,271 156,814 78,407 235,222 117,611 352,834 176,417 529,252 264,626 132,313 396,940 198,470 99,235 297,706 148,853 446,560 223,280

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