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Atlas › Integer Profiles › Node 46,778,528

46,778,528

25 × 131 × 11159
Deficient Even Composite

46,778,528 factors as 2^5 × 131 × 11159. Its 24 positive divisors give a proper-divisor sum of 46,028,032, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^5 × 131 × 11159
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 92,806,560
Proper Divisor Sum 46,028,032
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #46778519 ← → #46778533

Radix Representation

Decimal 46778528
Binary 10110010011100100010100000 (26 bits)
Octal 0o262344240
Hexadecimal 0x2C9C8A0

Divisor Catalog (24)

1 2 4 8 16 32 131 262 524 1,048 2,096 4,192 11,159 22,318 44,636 89,272 178,544 357,088 1,461,829 2,923,658 5,847,316 11,694,632 23,389,264 46,778,528

Collatz Trajectory (155 steps to reach 1)

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

46,778,528 23,389,264 11,694,632 5,847,316 2,923,658 1,461,829 4,385,488 2,192,744 1,096,372 548,186 274,093 822,280 411,140 205,570 102,785 308,356 154,178 77,089 231,268 115,634 57,817 173,452 86,726 43,363 130,090 65,045 195,136 97,568 48,784 24,392 12,196 6,098 3,049 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481

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