5,792,528

2⁴ × 7 × 51719

Starting at 5,792,528, the Collatz iteration reaches 1 after 95 steps. The first transition is 2896264; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 51719

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 12,826,560

Proper Divisor Sum 7,034,032

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #5792513 ← → #5792537

Radix Representation

Decimal	5792528
Binary	10110000110001100010000 (23 bits)
Octal	0o26061420
Hexadecimal	0x586310

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 51,719 103,438 206,876 362,033 413,752 724,066 827,504 1,448,132 2,896,264 5,792,528

Collatz Trajectory (95 steps to reach 1)

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

5,792,528 2,896,264 1,448,132 724,066 362,033 1,086,100 543,050 271,525 814,576 407,288 203,644 101,822 50,911 152,734 76,367 229,102 114,551 343,654 171,827 515,482 257,741 773,224 386,612 193,306 96,653 289,960 144,980 72,490 36,245 108,736 54,368 27,184 13,592 6,796 3,398 1,699 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154

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