1,553,615

5 × 7 × 44389

Starting at 1,553,615, the Collatz iteration reaches 1 after 256 steps. The first transition is 4660846; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 44389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,130,720

Proper Divisor Sum 577,105

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1553597 ← → #1553653

Radix Representation

Decimal	1553615
Binary	101111011010011001111 (21 bits)
Octal	0o5732317
Hexadecimal	0x17B4CF

Divisor Catalog (8)

1 5 7 35 44,389 221,945 310,723 1,553,615

Collatz Trajectory (256 steps to reach 1)

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

1,553,615 4,660,846 2,330,423 6,991,270 3,495,635 10,486,906 5,243,453 15,730,360 7,865,180 3,932,590 1,966,295 5,898,886 2,949,443 8,848,330 4,424,165 13,272,496 6,636,248 3,318,124 1,659,062 829,531 2,488,594 1,244,297 3,732,892 1,866,446 933,223 2,799,670 1,399,835 4,199,506 2,099,753 6,299,260 3,149,630 1,574,815 4,724,446 2,362,223 7,086,670 3,543,335 10,630,006 5,315,003 15,945,010 7,972,505 23,917,516 11,958,758 5,979,379 17,938,138 8,969,069 26,907,208 13,453,604 6,726,802 3,363,401 10,090,204 5,045,102 2,522,551 7,567,654 3,783,827 11,351,482 5,675,741 17,027,224 8,513,612 4,256,806 2,128,403

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