λ
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Atlas › Integer Profiles › Node 35,173,325

35,173,325

52 × 11 × 23 × 67 × 83
Deficient Odd Composite

35,173,325 factors as 5^2 × 11 × 23 × 67 × 83. Its 48 positive divisors give a proper-divisor sum of 15,823,411, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 5^2 × 11 × 23 × 67 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 50,996,736
Proper Divisor Sum 15,823,411
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #35173309 ← → #35173331

Radix Representation

Decimal 35173325
Binary 10000110001011001111001101 (26 bits)
Octal 0o206131715
Hexadecimal 0x218B3CD

Divisor Catalog (48)

1 5 11 23 25 55 67 83 115 253 275 335 415 575 737 913 1,265 1,541 1,675 1,909 2,075 3,685 4,565 5,561 6,325 7,705 9,545 16,951 18,425 20,999 22,825 27,805 38,525 47,725 61,171 84,755 104,995 127,903 139,025 305,855 423,775 524,975 639,515 1,406,933 1,529,275 3,197,575 7,034,665 35,173,325

Collatz Trajectory (214 steps to reach 1)

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

35,173,325 105,519,976 52,759,988 26,379,994 13,189,997 39,569,992 19,784,996 9,892,498 4,946,249 14,838,748 7,419,374 3,709,687 11,129,062 5,564,531 16,693,594 8,346,797 25,040,392 12,520,196 6,260,098 3,130,049 9,390,148 4,695,074 2,347,537 7,042,612 3,521,306 1,760,653 5,281,960 2,640,980 1,320,490 660,245 1,980,736 990,368 495,184 247,592 123,796 61,898 30,949 92,848 46,424 23,212 11,606 5,803 17,410 8,705 26,116 13,058 6,529 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200

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