4,925,128

2³ × 13 × 23 × 29 × 71

4,925,128 has digital root 4. The neighboring primes are 4925119 and 4925153; its proper-divisor sum differs from the starting integer by 1,036,144.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 29 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,886,400

Proper Divisor Sum 5,961,272

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4925119 ← → #4925153

Radix Representation

Decimal	4925128
Binary	10010110010011011001000 (23 bits)
Octal	0o22623310
Hexadecimal	0x4B26C8

Divisor Catalog (60 of 64)

1 2 4 8 13 23 26 29 46 52 58 71 92 104 116 142 184 232 284 299 377 568 598 667 754 923 1,196 1,334 1,508 1,633 1,846 2,059 2,392 2,668 3,016 3,266 3,692 4,118 5,336 6,532 7,384 8,236 8,671 13,064 16,472 17,342 21,229 26,767 34,684 42,458 47,357 53,534 69,368 84,916 94,714 107,068 169,832 189,428 214,136 378,856

Collatz Trajectory (175 steps to reach 1)

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

4,925,128 2,462,564 1,231,282 615,641 1,846,924 923,462 461,731 1,385,194 692,597 2,077,792 1,038,896 519,448 259,724 129,862 64,931 194,794 97,397 292,192 146,096 73,048 36,524 18,262 9,131 27,394 13,697 41,092 20,546 10,273 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145

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