84,237,136

2⁴ × 5264821

84,237,136 factors as 2^4 × 5264821. Its 10 positive divisors give a proper-divisor sum of 78,972,346, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^4 × 5264821

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 163,209,482

Proper Divisor Sum 78,972,346

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #84237133 ← → #84237161

Radix Representation

Decimal	84237136
Binary	101000001010101101101010000 (27 bits)
Octal	0o501255520
Hexadecimal	0x5055B50

Divisor Catalog (10)

1 2 4 8 16 5,264,821 10,529,642 21,059,284 42,118,568 84,237,136

Collatz Trajectory (148 steps to reach 1)

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

84,237,136 42,118,568 21,059,284 10,529,642 5,264,821 15,794,464 7,897,232 3,948,616 1,974,308 987,154 493,577 1,480,732 740,366 370,183 1,110,550 555,275 1,665,826 832,913 2,498,740 1,249,370 624,685 1,874,056 937,028 468,514 234,257 702,772 351,386 175,693 527,080 263,540 131,770 65,885 197,656 98,828 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413

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