723,315

3 × 5 × 48221

723,315 has digital root 3. The neighboring primes are 723293 and 723319; its proper-divisor sum differs from the starting integer by -289,302.

Prime Factor Structure

Factorization String 3 × 5 × 48221

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,157,328

Proper Divisor Sum 434,013

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #723293 ← → #723319

Radix Representation

Decimal	723315
Binary	10110000100101110011 (20 bits)
Octal	0o2604563
Hexadecimal	0xB0973

Divisor Catalog (8)

1 3 5 15 48,221 144,663 241,105 723,315

Collatz Trajectory (211 steps to reach 1)

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

723,315 2,169,946 1,084,973 3,254,920 1,627,460 813,730 406,865 1,220,596 610,298 305,149 915,448 457,724 228,862 114,431 343,294 171,647 514,942 257,471 772,414 386,207 1,158,622 579,311 1,737,934 868,967 2,606,902 1,303,451 3,910,354 1,955,177 5,865,532 2,932,766 1,466,383 4,399,150 2,199,575 6,598,726 3,299,363 9,898,090 4,949,045 14,847,136 7,423,568 3,711,784 1,855,892 927,946 463,973 1,391,920 695,960 347,980 173,990 86,995 260,986 130,493 391,480 195,740 97,870 48,935 146,806 73,403 220,210 110,105 330,316 165,158

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