7,779,507

3 × 83 × 157 × 199

7,779,507 factors as 3 × 83 × 157 × 199. Its 16 positive divisors give a proper-divisor sum of 2,838,093, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 83 × 157 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,617,600

Proper Divisor Sum 2,838,093

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7779491 ← → #7779521

Radix Representation

Decimal	7779507
Binary	11101101011010010110011 (23 bits)
Octal	0o35532263
Hexadecimal	0x76B4B3

Divisor Catalog (16)

1 3 83 157 199 249 471 597 13,031 16,517 31,243 39,093 49,551 93,729 2,593,169 7,779,507

Collatz Trajectory (186 steps to reach 1)

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

7,779,507 23,338,522 11,669,261 35,007,784 17,503,892 8,751,946 4,375,973 13,127,920 6,563,960 3,281,980 1,640,990 820,495 2,461,486 1,230,743 3,692,230 1,846,115 5,538,346 2,769,173 8,307,520 4,153,760 2,076,880 1,038,440 519,220 259,610 129,805 389,416 194,708 97,354 48,677 146,032 73,016 36,508 18,254 9,127 27,382 13,691 41,074 20,537 61,612 30,806 15,403 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372

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