4,507,510

2 × 5 × 7² × 9199

4,507,510 factors as 2 × 5 × 7^2 × 9199. Its 24 positive divisors give a proper-divisor sum of 4,931,690, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 9199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,439,200

Proper Divisor Sum 4,931,690

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4507507 ← → #4507519

Radix Representation

Decimal	4507510
Binary	10001001100011101110110 (23 bits)
Octal	0o21143566
Hexadecimal	0x44C776

Divisor Catalog (24)

Collatz Trajectory (162 steps to reach 1)

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

4,507,510 2,253,755 6,761,266 3,380,633 10,141,900 5,070,950 2,535,475 7,606,426 3,803,213 11,409,640 5,704,820 2,852,410 1,426,205 4,278,616 2,139,308 1,069,654 534,827 1,604,482 802,241 2,406,724 1,203,362 601,681 1,805,044 902,522 451,261 1,353,784 676,892 338,446 169,223 507,670 253,835 761,506 380,753 1,142,260 571,130 285,565 856,696 428,348 214,174 107,087 321,262 160,631 481,894 240,947 722,842 361,421 1,084,264 542,132 271,066 135,533 406,600 203,300 101,650 50,825 152,476 76,238 38,119 114,358 57,179 171,538

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