λ
Ratio Atlas

87,828,649

87828649
Deficient Odd Prime

87,828,649 factors as 87828649. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 236 steps.

Prime Factor Structure

Factorization String 87828649
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 87,828,650
Proper Divisor Sum 1
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #87828641 ← → #87828731

Radix Representation

Decimal 87828649
Binary 101001111000010100010101001 (27 bits)
Octal 0o517024251
Hexadecimal 0x53C28A9

Divisor Catalog (2)

Collatz Trajectory (236 steps to reach 1)

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

87,828,649 263,485,948 131,742,974 65,871,487 197,614,462 98,807,231 296,421,694 148,210,847 444,632,542 222,316,271 666,948,814 333,474,407 1,000,423,222 500,211,611 1,500,634,834 750,317,417 2,250,952,252 1,125,476,126 562,738,063 1,688,214,190 844,107,095 2,532,321,286 1,266,160,643 3,798,481,930 1,899,240,965 5,697,722,896 2,848,861,448 1,424,430,724 712,215,362 356,107,681 1,068,323,044 534,161,522 267,080,761 801,242,284 400,621,142 200,310,571 600,931,714 300,465,857 901,397,572 450,698,786 225,349,393 676,048,180 338,024,090 169,012,045 507,036,136 253,518,068 126,759,034 63,379,517 190,138,552 95,069,276 47,534,638 23,767,319 71,301,958 35,650,979 106,952,938 53,476,469 160,429,408 80,214,704 40,107,352 20,053,676

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