715,430

2 × 5 × 29 × 2467

715,430 factors as 2 × 5 × 29 × 2467. Its 16 positive divisors give a proper-divisor sum of 617,290, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 2467

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,332,720

Proper Divisor Sum 617,290

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #715423 ← → #715439

Radix Representation

Decimal	715430
Binary	10101110101010100110 (20 bits)
Octal	0o2565246
Hexadecimal	0xAEAA6

Divisor Catalog (16)

1 2 5 10 29 58 145 290 2,467 4,934 12,335 24,670 71,543 143,086 357,715 715,430

Collatz Trajectory (123 steps to reach 1)

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

715,430 357,715 1,073,146 536,573 1,609,720 804,860 402,430 201,215 603,646 301,823 905,470 452,735 1,358,206 679,103 2,037,310 1,018,655 3,055,966 1,527,983 4,583,950 2,291,975 6,875,926 3,437,963 10,313,890 5,156,945 15,470,836 7,735,418 3,867,709 11,603,128 5,801,564 2,900,782 1,450,391 4,351,174 2,175,587 6,526,762 3,263,381 9,790,144 4,895,072 2,447,536 1,223,768 611,884 305,942 152,971 458,914 229,457 688,372 344,186 172,093 516,280 258,140 129,070 64,535 193,606 96,803 290,410 145,205 435,616 217,808 108,904 54,452 27,226

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