551,973

3 × 17 × 79 × 137

551,973 factors as 3 × 17 × 79 × 137. Its 16 positive divisors give a proper-divisor sum of 242,907, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 3 × 17 × 79 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 794,880

Proper Divisor Sum 242,907

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #551963 ← → #551981

Radix Representation

Decimal	551973
Binary	10000110110000100101 (20 bits)
Octal	0o2066045
Hexadecimal	0x86C25

Divisor Catalog (16)

1 3 17 51 79 137 237 411 1,343 2,329 4,029 6,987 10,823 32,469 183,991 551,973

Collatz Trajectory (146 steps to reach 1)

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

551,973 1,655,920 827,960 413,980 206,990 103,495 310,486 155,243 465,730 232,865 698,596 349,298 174,649 523,948 261,974 130,987 392,962 196,481 589,444 294,722 147,361 442,084 221,042 110,521 331,564 165,782 82,891 248,674 124,337 373,012 186,506 93,253 279,760 139,880 69,940 34,970 17,485 52,456 26,228 13,114 6,557 19,672 9,836 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503

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