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Atlas › Integer Profiles › Node 35,680,552

35,680,552

23 × 17 × 167 × 1571
Deficient Even Composite

35,680,552 factors as 2^3 × 17 × 167 × 1571. Its 32 positive divisors give a proper-divisor sum of 35,625,368, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 167 × 1571
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 71,305,920
Proper Divisor Sum 35,625,368
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #35680529 ← → #35680571

Radix Representation

Decimal 35680552
Binary 10001000000111000100101000 (26 bits)
Octal 0o210070450
Hexadecimal 0x2207128

Divisor Catalog (32)

1 2 4 8 17 34 68 136 167 334 668 1,336 1,571 2,839 3,142 5,678 6,284 11,356 12,568 22,712 26,707 53,414 106,828 213,656 262,357 524,714 1,049,428 2,098,856 4,460,069 8,920,138 17,840,276 35,680,552

Collatz Trajectory (183 steps to reach 1)

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

35,680,552 17,840,276 8,920,138 4,460,069 13,380,208 6,690,104 3,345,052 1,672,526 836,263 2,508,790 1,254,395 3,763,186 1,881,593 5,644,780 2,822,390 1,411,195 4,233,586 2,116,793 6,350,380 3,175,190 1,587,595 4,762,786 2,381,393 7,144,180 3,572,090 1,786,045 5,358,136 2,679,068 1,339,534 669,767 2,009,302 1,004,651 3,013,954 1,506,977 4,520,932 2,260,466 1,130,233 3,390,700 1,695,350 847,675 2,543,026 1,271,513 3,814,540 1,907,270 953,635 2,860,906 1,430,453 4,291,360 2,145,680 1,072,840 536,420 268,210 134,105 402,316 201,158 100,579 301,738 150,869 452,608 226,304

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