5,965,265

5 × 409 × 2917

Starting at 5,965,265, the Collatz iteration reaches 1 after 165 steps. The first transition is 17895796; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 409 × 2917

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,178,280

Proper Divisor Sum 1,213,015

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5965247 ← → #5965273

Radix Representation

Decimal	5965265
Binary	10110110000010111010001 (23 bits)
Octal	0o26602721
Hexadecimal	0x5B05D1

Divisor Catalog (8)

1 5 409 2,045 2,917 14,585 1,193,053 5,965,265

Collatz Trajectory (165 steps to reach 1)

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

5,965,265 17,895,796 8,947,898 4,473,949 13,421,848 6,710,924 3,355,462 1,677,731 5,033,194 2,516,597 7,549,792 3,774,896 1,887,448 943,724 471,862 235,931 707,794 353,897 1,061,692 530,846 265,423 796,270 398,135 1,194,406 597,203 1,791,610 895,805 2,687,416 1,343,708 671,854 335,927 1,007,782 503,891 1,511,674 755,837 2,267,512 1,133,756 566,878 283,439 850,318 425,159 1,275,478 637,739 1,913,218 956,609 2,869,828 1,434,914 717,457 2,152,372 1,076,186 538,093 1,614,280 807,140 403,570 201,785 605,356 302,678 151,339 454,018 227,009

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