627,315

3 × 5 × 13 × 3217

627,315 has digital root 6. The neighboring primes are 627301 and 627329; its proper-divisor sum differs from the starting integer by -173,382.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 3217

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,081,248

Proper Divisor Sum 453,933

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #627301 ← → #627329

Radix Representation

Decimal	627315
Binary	10011001001001110011 (20 bits)
Octal	0o2311163
Hexadecimal	0x99273

Divisor Catalog (16)

1 3 5 13 15 39 65 195 3,217 9,651 16,085 41,821 48,255 125,463 209,105 627,315

Collatz Trajectory (154 steps to reach 1)

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

627,315 1,881,946 940,973 2,822,920 1,411,460 705,730 352,865 1,058,596 529,298 264,649 793,948 396,974 198,487 595,462 297,731 893,194 446,597 1,339,792 669,896 334,948 167,474 83,737 251,212 125,606 62,803 188,410 94,205 282,616 141,308 70,654 35,327 105,982 52,991 158,974 79,487 238,462 119,231 357,694 178,847 536,542 268,271 804,814 402,407 1,207,222 603,611 1,810,834 905,417 2,716,252 1,358,126 679,063 2,037,190 1,018,595 3,055,786 1,527,893 4,583,680 2,291,840 1,145,920 572,960 286,480 143,240

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