λ
Sequence Observatory

7,617,377

17 × 71 × 6311
Deficient Odd Composite

Starting at 7,617,377, the Collatz iteration reaches 1 after 103 steps. The first transition is 22852132; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 71 × 6311
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,180,352
Proper Divisor Sum 562,975
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7617367 ← → #7617397

Radix Representation

Decimal 7617377
Binary 11101000011101101100001 (23 bits)
Octal 0o35035541
Hexadecimal 0x743B61

Divisor Catalog (8)

1 17 71 1,207 6,311 107,287 448,081 7,617,377

Collatz Trajectory (103 steps to reach 1)

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

7,617,377 22,852,132 11,426,066 5,713,033 17,139,100 8,569,550 4,284,775 12,854,326 6,427,163 19,281,490 9,640,745 28,922,236 14,461,118 7,230,559 21,691,678 10,845,839 32,537,518 16,268,759 48,806,278 24,403,139 73,209,418 36,604,709 109,814,128 54,907,064 27,453,532 13,726,766 6,863,383 20,590,150 10,295,075 30,885,226 15,442,613 46,327,840 23,163,920 11,581,960 5,790,980 2,895,490 1,447,745 4,343,236 2,171,618 1,085,809 3,257,428 1,628,714 814,357 2,443,072 1,221,536 610,768 305,384 152,692 76,346 38,173 114,520 57,260 28,630 14,315 42,946 21,473 64,420 32,210 16,105 48,316

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