4,137,688

2³ × 517211

4,137,688 has digital root 1. The neighboring primes are 4137671 and 4137697; its proper-divisor sum differs from the starting integer by -517,196.

Prime Factor Structure

Factorization String 2^3 × 517211

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,758,180

Proper Divisor Sum 3,620,492

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4137671 ← → #4137697

Radix Representation

Decimal	4137688
Binary	1111110010001011011000 (22 bits)
Octal	0o17621330
Hexadecimal	0x3F22D8

Divisor Catalog (8)

1 2 4 8 517,211 1,034,422 2,068,844 4,137,688

Collatz Trajectory (167 steps to reach 1)

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

4,137,688 2,068,844 1,034,422 517,211 1,551,634 775,817 2,327,452 1,163,726 581,863 1,745,590 872,795 2,618,386 1,309,193 3,927,580 1,963,790 981,895 2,945,686 1,472,843 4,418,530 2,209,265 6,627,796 3,313,898 1,656,949 4,970,848 2,485,424 1,242,712 621,356 310,678 155,339 466,018 233,009 699,028 349,514 174,757 524,272 262,136 131,068 65,534 32,767 98,302 49,151 147,454 73,727 221,182 110,591 331,774 165,887 497,662 248,831 746,494 373,247 1,119,742 559,871 1,679,614 839,807 2,519,422 1,259,711 3,779,134 1,889,567 5,668,702

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