5,008,155

3 × 5 × 29² × 397

For 5,008,155, the 24 positive divisors have a total of 8,319,792. Removing 5,008,155 leaves 3,311,637, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 29^2 × 397

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,319,792

Proper Divisor Sum 3,311,637

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5008151 ← → #5008187

Radix Representation

Decimal	5008155
Binary	10011000110101100011011 (23 bits)
Octal	0o23065433
Hexadecimal	0x4C6B1B

Divisor Catalog (24)

1 3 5 15 29 87 145 397 435 841 1,191 1,985 2,523 4,205 5,955 11,513 12,615 34,539 57,565 172,695 333,877 1,001,631 1,669,385 5,008,155

Collatz Trajectory (113 steps to reach 1)

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

5,008,155 15,024,466 7,512,233 22,536,700 11,268,350 5,634,175 16,902,526 8,451,263 25,353,790 12,676,895 38,030,686 19,015,343 57,046,030 28,523,015 85,569,046 42,784,523 128,353,570 64,176,785 192,530,356 96,265,178 48,132,589 144,397,768 72,198,884 36,099,442 18,049,721 54,149,164 27,074,582 13,537,291 40,611,874 20,305,937 60,917,812 30,458,906 15,229,453 45,688,360 22,844,180 11,422,090 5,711,045 17,133,136 8,566,568 4,283,284 2,141,642 1,070,821 3,212,464 1,606,232 803,116 401,558 200,779 602,338 301,169 903,508 451,754 225,877 677,632 338,816 169,408 84,704 42,352 21,176 10,588 5,294

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