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Atlas › Integer Profiles › Node 69,463,575

69,463,575

34 × 52 × 34303
Deficient Odd Composite

69,463,575 factors as 3^4 × 5^2 × 34303. Its 30 positive divisors give a proper-divisor sum of 59,210,729, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 3^4 × 5^2 × 34303
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 128,674,304
Proper Divisor Sum 59,210,729
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #69463573 ← → #69463607

Radix Representation

Decimal 69463575
Binary 100001000111110111000010111 (27 bits)
Octal 0o410767027
Hexadecimal 0x423EE17

Divisor Catalog (30)

1 3 5 9 15 25 27 45 75 81 135 225 405 675 2,025 34,303 102,909 171,515 308,727 514,545 857,575 926,181 1,543,635 2,572,725 2,778,543 4,630,905 7,718,175 13,892,715 23,154,525 69,463,575

Collatz Trajectory (215 steps to reach 1)

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

69,463,575 208,390,726 104,195,363 312,586,090 156,293,045 468,879,136 234,439,568 117,219,784 58,609,892 29,304,946 14,652,473 43,957,420 21,978,710 10,989,355 32,968,066 16,484,033 49,452,100 24,726,050 12,363,025 37,089,076 18,544,538 9,272,269 27,816,808 13,908,404 6,954,202 3,477,101 10,431,304 5,215,652 2,607,826 1,303,913 3,911,740 1,955,870 977,935 2,933,806 1,466,903 4,400,710 2,200,355 6,601,066 3,300,533 9,901,600 4,950,800 2,475,400 1,237,700 618,850 309,425 928,276 464,138 232,069 696,208 348,104 174,052 87,026 43,513 130,540 65,270 32,635 97,906 48,953 146,860 73,430

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