4,515,472

2⁴ × 13 × 17 × 1277

4,515,472 is even and not a perfect square. Its factorization is 2^4 × 13 × 17 × 1277 and its 40 divisors sum to 9,983,736.

Prime Factor Structure

Factorization String 2^4 × 13 × 17 × 1277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,983,736

Proper Divisor Sum 5,468,264

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4515461 ← → #4515479

Radix Representation

Decimal	4515472
Binary	10001001110011010010000 (23 bits)
Octal	0o21163220
Hexadecimal	0x44E690

Divisor Catalog (40)

1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1,277 1,768 2,554 3,536 5,108 10,216 16,601 20,432 21,709 33,202 43,418 66,404 86,836 132,808 173,672 265,616 282,217 347,344 564,434 1,128,868 2,257,736 4,515,472

Collatz Trajectory (162 steps to reach 1)

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

4,515,472 2,257,736 1,128,868 564,434 282,217 846,652 423,326 211,663 634,990 317,495 952,486 476,243 1,428,730 714,365 2,143,096 1,071,548 535,774 267,887 803,662 401,831 1,205,494 602,747 1,808,242 904,121 2,712,364 1,356,182 678,091 2,034,274 1,017,137 3,051,412 1,525,706 762,853 2,288,560 1,144,280 572,140 286,070 143,035 429,106 214,553 643,660 321,830 160,915 482,746 241,373 724,120 362,060 181,030 90,515 271,546 135,773 407,320 203,660 101,830 50,915 152,746 76,373 229,120 114,560 57,280 28,640

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