λ
Integer Codex

4,125,357

33 × 152791
Deficient Odd Composite

For 4,125,357, the 8 positive divisors have a total of 6,111,680. Removing 4,125,357 leaves 1,986,323, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 152791
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,111,680
Proper Divisor Sum 1,986,323
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4125353 ← → #4125371

Radix Representation

Decimal 4125357
Binary 1111101111001010101101 (22 bits)
Octal 0o17571255
Hexadecimal 0x3EF2AD

Divisor Catalog (8)

1 3 9 27 152,791 458,373 1,375,119 4,125,357

Collatz Trajectory (53 steps to reach 1)

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

4,125,357 12,376,072 6,188,036 3,094,018 1,547,009 4,641,028 2,320,514 1,160,257 3,480,772 1,740,386 870,193 2,610,580 1,305,290 652,645 1,957,936 978,968 489,484 244,742 122,371 367,114 183,557 550,672 275,336 137,668 68,834 34,417 103,252 51,626 25,813 77,440 38,720 19,360 9,680 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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