4,456,515

3 × 5 × 7 × 42443

4,456,515 factors as 3 × 5 × 7 × 42443. Its 16 positive divisors give a proper-divisor sum of 3,692,733, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 42443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,149,248

Proper Divisor Sum 3,692,733

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4456513 ← → #4456541

Radix Representation

Decimal	4456515
Binary	10001000000000001000011 (23 bits)
Octal	0o21000103
Hexadecimal	0x440043

Divisor Catalog (16)

1 3 5 7 15 21 35 105 42,443 127,329 212,215 297,101 636,645 891,303 1,485,505 4,456,515

Collatz Trajectory (87 steps to reach 1)

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

4,456,515 13,369,546 6,684,773 20,054,320 10,027,160 5,013,580 2,506,790 1,253,395 3,760,186 1,880,093 5,640,280 2,820,140 1,410,070 705,035 2,115,106 1,057,553 3,172,660 1,586,330 793,165 2,379,496 1,189,748 594,874 297,437 892,312 446,156 223,078 111,539 334,618 167,309 501,928 250,964 125,482 62,741 188,224 94,112 47,056 23,528 11,764 5,882 2,941 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524 262 131

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