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Atlas › Integer Profiles › Node 35,041,720

35,041,720

23 × 5 × 7 × 125149
Abundant Even Composite

35,041,720 factors as 2^3 × 5 × 7 × 125149. Its 32 positive divisors give a proper-divisor sum of 55,066,280, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 125149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 90,108,000
Proper Divisor Sum 55,066,280
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #35041717 ← → #35041729

Radix Representation

Decimal 35041720
Binary 10000101101011000110111000 (26 bits)
Octal 0o205530670
Hexadecimal 0x216B1B8

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 125,149 250,298 500,596 625,745 876,043 1,001,192 1,251,490 1,752,086 2,502,980 3,504,172 4,380,215 5,005,960 7,008,344 8,760,430 17,520,860 35,041,720

Collatz Trajectory (201 steps to reach 1)

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

35,041,720 17,520,860 8,760,430 4,380,215 13,140,646 6,570,323 19,710,970 9,855,485 29,566,456 14,783,228 7,391,614 3,695,807 11,087,422 5,543,711 16,631,134 8,315,567 24,946,702 12,473,351 37,420,054 18,710,027 56,130,082 28,065,041 84,195,124 42,097,562 21,048,781 63,146,344 31,573,172 15,786,586 7,893,293 23,679,880 11,839,940 5,919,970 2,959,985 8,879,956 4,439,978 2,219,989 6,659,968 3,329,984 1,664,992 832,496 416,248 208,124 104,062 52,031 156,094 78,047 234,142 117,071 351,214 175,607 526,822 263,411 790,234 395,117 1,185,352 592,676 296,338 148,169 444,508 222,254

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