617,678

2 × 17 × 37 × 491

For 617,678, the 16 positive divisors have a total of 1,009,584. Removing 617,678 leaves 391,906, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 17 × 37 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,009,584

Proper Divisor Sum 391,906

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #617677 ← → #617681

Radix Representation

Decimal	617678
Binary	10010110110011001110 (20 bits)
Octal	0o2266316
Hexadecimal	0x96CCE

Divisor Catalog (16)

1 2 17 34 37 74 491 629 982 1,258 8,347 16,694 18,167 36,334 308,839 617,678

Collatz Trajectory (115 steps to reach 1)

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

617,678 308,839 926,518 463,259 1,389,778 694,889 2,084,668 1,042,334 521,167 1,563,502 781,751 2,345,254 1,172,627 3,517,882 1,758,941 5,276,824 2,638,412 1,319,206 659,603 1,978,810 989,405 2,968,216 1,484,108 742,054 371,027 1,113,082 556,541 1,669,624 834,812 417,406 208,703 626,110 313,055 939,166 469,583 1,408,750 704,375 2,113,126 1,056,563 3,169,690 1,584,845 4,754,536 2,377,268 1,188,634 594,317 1,782,952 891,476 445,738 222,869 668,608 334,304 167,152 83,576 41,788 20,894 10,447 31,342 15,671 47,014 23,507

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