4,157,736

2³ × 3 × 11 × 15749

4,157,736 has digital root 6. The neighboring primes are 4157731 and 4157749; its proper-divisor sum differs from the starting integer by 3,024,528.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 15749

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,340,000

Proper Divisor Sum 7,182,264

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4157731 ← → #4157749

Radix Representation

Decimal	4157736
Binary	1111110111000100101000 (22 bits)
Octal	0o17670450
Hexadecimal	0x3F7128

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 15,749 31,498 47,247 62,996 94,494 125,992 173,239 188,988 346,478 377,976 519,717 692,956 1,039,434 1,385,912 2,078,868 4,157,736

Collatz Trajectory (185 steps to reach 1)

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

4,157,736 2,078,868 1,039,434 519,717 1,559,152 779,576 389,788 194,894 97,447 292,342 146,171 438,514 219,257 657,772 328,886 164,443 493,330 246,665 739,996 369,998 184,999 554,998 277,499 832,498 416,249 1,248,748 624,374 312,187 936,562 468,281 1,404,844 702,422 351,211 1,053,634 526,817 1,580,452 790,226 395,113 1,185,340 592,670 296,335 889,006 444,503 1,333,510 666,755 2,000,266 1,000,133 3,000,400 1,500,200 750,100 375,050 187,525 562,576 281,288 140,644 70,322 35,161 105,484 52,742 26,371

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