1,440,352

2⁵ × 19 × 23 × 103

Starting at 1,440,352, the Collatz iteration reaches 1 after 93 steps. The first transition is 720176; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 19 × 23 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,144,960

Proper Divisor Sum 1,704,608

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1440349 ← → #1440379

Radix Representation

Decimal	1440352
Binary	101011111101001100000 (21 bits)
Octal	0o5375140
Hexadecimal	0x15FA60

Divisor Catalog (48)

1 2 4 8 16 19 23 32 38 46 76 92 103 152 184 206 304 368 412 437 608 736 824 874 1,648 1,748 1,957 2,369 3,296 3,496 3,914 4,738 6,992 7,828 9,476 13,984 15,656 18,952 31,312 37,904 45,011 62,624 75,808 90,022 180,044 360,088 720,176 1,440,352

Collatz Trajectory (93 steps to reach 1)

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

1,440,352 720,176 360,088 180,044 90,022 45,011 135,034 67,517 202,552 101,276 50,638 25,319 75,958 37,979 113,938 56,969 170,908 85,454 42,727 128,182 64,091 192,274 96,137 288,412 144,206 72,103 216,310 108,155 324,466 162,233 486,700 243,350 121,675 365,026 182,513 547,540 273,770 136,885 410,656 205,328 102,664 51,332 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523

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